Einstein @ Home aggregates the computer power of hundreds of thousands of volunteers from 193 countries , to search for new neutron stars using data from electromagnetic and gravitational-wave detectors . This paper presents a detailed description of the search for new radio pulsars using Pulsar ALFA survey data from the Arecibo Observatory . The enormous computing power allows this search to cover a new region of parameter space ; it can detect pulsars in binary systems with orbital periods as short as 11 minutes . We also describe the first Einstein @ Home discovery , the 40.8 Hz isolated pulsar PSR J2007+2722 , and provide a full timing model . PSR J2007+2722 ’ s pulse profile is remarkably wide with emission over almost the entire spin period . This neutron star is most likely a disrupted recycled pulsar , about as old as its characteristic spin-down age of 404 Myr . However there is a small chance that it was born recently , with a low magnetic field . If so , upper limits on the X-ray flux suggest but can not prove that PSR J2007+2722 is at least \sim 100 kyr old . In the future , we expect that the massive computing power provided by volunteers should enable many additional radio pulsar discoveries .