Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575g |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-221492919921875 = -1 · 513 · 73 · 232 |
Discriminant |
Eigenvalues |
1 3 5+ 7+ -5 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18292,1195991] |
[a1,a2,a3,a4,a6] |
j |
-81892654209/26796875 |
j-invariant |
L |
4.2309590302509 |
L(r)(E,1)/r! |
Ω |
0.52886986988366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515q1 92575t1 |
Quadratic twists by: 5 -23 |