Analytic evaluation of Hecke eigenvalues for classical modular forms

by D. Armendariz,O. Colman,N. Coloma,A. Ghitza,N. Ryan,D. Teran

13 pages.

We propose a method for computing approximations to the Hecke eigenvalues of a classical modular eigenform f, based on the analytic evaluation of f at points in the upper half plane. Our approach works with arbitrary precision, allows for a strict control of the error in the approximation, and outperforms current exact computation methods.