@article{Konstan2012IJNTp265287, title = {{Ramanujan invariants for discriminants congruent to {$5\pmod{24}$}}}, author = {Konstantinou, Elisavet and Kontogeorgis, Aristides}, file = {IJNT.pdf}, volume = {8}, pages = {265{--}287}, url = {http://dx.doi.org/10.1142/S1793042112500157}, doi = {10.1142/S1793042112500157}, year = {2012}, journal = {Int. J. Number Theory}, abstract = {In this paper we compute the minimal polynomials of Ramanujan values 27t{\char8722}12n for discriminants D{\char8801}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}, issn = {1793-0421}, number = {1} }