An Improved Direct Measurement of Leptonic Coupling Asymmetries with Polarized Z0's We report new direct measurements of the Z0-leptoncoupling asymmetry parameters A_e, A_mu and A_tau, with the complete sample of polarized Z0's collected by the SLD detector at the SLAC Linear Collider. The parameters are extracted from the measurement of the left-right and left-right-forward-backward asymmetries for each lepton species. The 1996 data and the 1997-1998 data with upgraded tracking acceptance are included in this analysis and combined with published data from the 1993-95 runs. Assuming lepton universality, we measured the lepton asymmetry parameter with a precision of 0.0053 (preliminary).