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Unnecessary zeros, the theta functions are already defined in this article |
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By symmetrizing the lambda function under the canonical action of the symmetric group ''S''<sub>3</sub> on ''X''(2), and then normalizing suitably, one obtains a function on the upper half-plane that is invariant under the full modular group <math>\operatorname{SL}_2(\mathbb{Z})</math>, and it is in fact Klein's modular [[j-invariant]].
[[File:Lambda function.svg|thumb|A plot of x→ λ(ix)]]
==Modular properties==
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