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The definition of Ramanujan's class invariants was missing. I also removed the word "elliptic" to prevent confusion: technically speaking, the modular lambda function is not an elliptic function in the sense of having two R-linear independent complex periods |
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These are the relations between lambda-star and Ramanujan's class invariants:
:<math>G(x) = \sin\{2\arcsin[\lambda^*(x)]\}^{-1/12} = 1\Big /\left[\sqrt[12]{2\lambda^*(x)}\sqrt[24]{1-\lambda^*(x)^2}\right] </math>
:<math>g(x) = \tan\{2\arctan[\lambda^*(x)]\}^{-1/12} = \sqrt[12]{[1-\lambda^*(x)^2]/[2\lambda^*(x)]} </math>
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