Ramanujan invariants for discriminants congruent to \(5\pmod{24}\)

Konstantinou, Elisavet and Kontogeorgis, Aristides

Abstract

In this paper we compute the minimal polynomials of Ramanujan values 27t-12n for discriminants D≡5mod24. Our method is based on Shimura Reciprocity Law as which was made computationally explicit by A.Gee and P. Stevenhagen. However, since these Ramanujan values are not class invariants, we present a modification of the above method which can be applied on modular functions that do not necessarily yield class invariants