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 | + | It is invariant under the full modular group $\mathbf{SL}(2,\mathbb{Z})$ |
Revision as of 09:49, 9 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 $\mathbf{SL}(2,\mathbb{Z})$
