Difference between revisions of "Klein invariant J"
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The Klein j-invariant $j(\tau)$ is ''the'' [[modular function]] which encodes arithmetic information about the [[singular moduli]] of [[imaginary quadratic fields]]. | The Klein j-invariant $j(\tau)$ is ''the'' [[modular function]] which encodes arithmetic information about the [[singular moduli]] of [[imaginary quadratic fields]]. | ||
| − | It is invariant under the [[full modular group]] $\mathbf{SL}(2,\mathbb{Z})$ | + | It is invariant under the [[full modular group]] $\mathbf{SL}(2,\mathbb{Z})$. |
Revision as of 12:23, 15 October 2014
The Klein j-invariant $j(\tau)$ is the modular function which encodes arithmetic information about the singular moduli of imaginary quadratic fields.
It is invariant under the full modular group $\mathbf{SL}(2,\mathbb{Z})$.
