Abstract: Let be the Dedekind -function. In this work we exhibit all modular forms of integral weight , for positive integers and and arbitrary integers , such that both and its image under the Fricke involution are eigenforms of all Hecke operators. We also relate most of these modular forms with the Conway group via a generalized McKay-Thompson series.
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
Received by editor(s): November 22, 1994
Article copyright: © Copyright 1996 American Mathematical Society