@article{Kontoge2014MCp14771488, title = {Constructing class invariants}, author = {Kontogeorgis, Aristides}, file = {ConstructingClassInvariants.pdf}, volume = {83}, pages = {1477{--}1488}, url = {http://dx.doi.org/10.1090/S0025-5718-2013-02769-X}, doi = {10.1090/S0025-5718-2013-02769-X}, year = {2014}, journal = {Math. Comp.}, abstract = {Shimura reciprocity law allows us to verify that a modular function is a class invariant. Here we present a new method based on Shimura reciprocity that allows us not only to verify but to find new class invariants from a modular function of level N.}, issn = {0025-5718}, number = {287} }