Computing characteristic polynomials of Hecke operators when the weight is large

William A. Stein


Abstract

We describe an algorithm that computes the Hecke operator Tp,k on weight-k modular forms on SL2(Z). This algorithm is targeted at the case when both p and k are large. The algorithm generalizes to higher level.


This paper isn't quite done, because I still want to add some numerical examples.

Last modified: 9 February 2001