Abstract submitted to the International Europhysics Conference on High Energy Physics July 12 - 18, 2001, Budapest, Hungary _________________________________________________________________________ Exclusive electroproduction of rho^0 mesons at HERA ZEUS Collaboration Abstract Exclusive production of rho^0 mesons has been studied in e^+p collisions in the kinematic range 2 < Q^2 < 80 GeV^2 and 32 < W < 160 GeV with the ZEUS detector at HERA using an integrated luminosity of 38 pb^{-1}. The ratio of the production cross sections for longitudinally and transversely polarized virtual photons, determined from the angular distribution of the decay products of the rho^0, is presented as a function of Q^2 and W. The parameters of the exchanged trajectory are determined from the W dependence of the rho^0 production cross section at fixed t and their dependence on Q^2 is investigated.