This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

KleinInvariantJ

KleinInvariantJ[]
gives the Klein invariant modular elliptic function J(tau).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The argument tau is the ratio of Weierstrass half-periods omega^′/omega.
  • J(tau) is invariant under any combination of the modular transformations tau→tau+1 and tau→-1/tau.
  • For certain special arguments, KleinInvariantJ automatically evaluates to exact values.
New in 3