The special value of an elliptic curve $E/\Q$ is the first nonzero value of $L^{(r)}(E,1)/r!$ for $r\in \Z_{\ge 0}$, where $L(E,s)$ is the $L$-function of $E$ in its arithmetic normalization.
The special value appears on the LHS of the formula in the Birch and Swinnerton-Dyer conjecture.
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- Review status: reviewed
- Last edited by Andrew Sutherland on 2024-10-26 17:34:07
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- 2024-10-26 17:34:07 by Andrew Sutherland (Reviewed)
- 2024-10-26 17:30:52 by Andrew Sutherland
- 2019-09-04 18:27:23 by David Farmer (Reviewed)
- 2018-06-19 15:38:28 by John Jones (Reviewed)