Updates will be made to the NHS COVID-19 app in England to coincide with the offer of rapid testing for everyone.
Tests can also be delivered through workplace testing programmes on-site or at home, community testing, offered by all local authorities, collection at a local PCR (polymerase chain reaction) test site, such as Newbury Showground, and on-site at schools and colleges.
The majority of the cases, 346, were identified via the 48,724 rapid tests taken via the government's programme and a further 14 positives from 514 rapid tests taken privately.
A new "pharmacy collect" service is also being launched, which will provide an additional route to regular testing.
Health Secretary Matt Hancock said: "Around one in three people who have Covid-19 show no symptoms, and as we reopen society and resume parts of life we have all dearly missed, regular rapid testing is going to be fundamental in helping us quickly spot positive cases and squash any outbreaks". If testing at home, individuals will need to register their results online or by calling 119.
The positives identified via PCR tests are as follows: 120 positives from 703 PCR contact tracing tests, five from 2,778 tests at the airports, 44 from 1,258 tests taken privately, 34 from 492 tests carried out at the hospitals and two from 183 tests taken after being referred to do so by Global Positioning System. "They are another tool we now have to help maintain lower infection rates", said Dr Susan Hopkins, Covid-19 Strategic Response Director at Public Health England (PHE) and Chief Medical Adviser to NHS Test and Trace. A government marketing campaign encouraging people to take up the offer of twice weekly rapid testing will start running from Friday.
Recent analysis from NHS Test and Trace shows that for every 1,000 lateral flow tests carried out, there is less than 1 false positive result.
The tests will be available regardless of whether people have symptoms from April 9.
If a person has been at a venue on the same day as several other people who have since tested positive for COVID-19, they may receive an alert advising them to book a test immediately, whether they are showing symptoms or not.
The app will also require users who test positive to share their venue history in a "privacy-protecting way" via the program, the Government said. This is to support finding asymptomatic cases who may have caught the virus but are not displaying symptoms.