Atkin-Lehner |
3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23751d |
Isogeny class |
Conductor |
23751 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-98417654929271223 = -1 · 315 · 72 · 136 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60889,-13957050] |
[a1,a2,a3,a4,a6] |
j |
34246752505800407/135003641878287 |
j-invariant |
L |
1.3667947670627 |
L(r)(E,1)/r! |
Ω |
0.17084934588286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917a1 |
Quadratic twists by: -3 |