  Using data acquired with the CLEO detector at the CESR e+e- collider at
sqrt{s} = 3.773 GeV, we measure the cross section for the radiative return
process e+e- --> gamma J/psi, J/psi --> mu+mu-, resulting in B(J/psi -->
mu+mu-) x Gamma_ee(J/psi) = 0.3384 +- 0.0058 +- 0.0071 keV, Gamma_ee(J/psi) =
5.68 +- 0.11 +- 0.13 keV, and Gamma_tot(J/psi) = 95.5 +- 2.4 +- 2.4 keV, in
which the errors are statistical and systematic, respectively. We also
determine the ratio Gamma_ee[psi(2S)] / Gamma_ee(J/psi) = 0.45 +- 0.01 +- 0.02.
