Atkin-Lehner |
5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7585a |
Isogeny class |
Conductor |
7585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
21925390625 = 58 · 372 · 41 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 -6 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-961,-9386] |
[a1,a2,a3,a4,a6] |
j |
98157190604689/21925390625 |
j-invariant |
L |
0.87115674553485 |
L(r)(E,1)/r! |
Ω |
0.87115674553485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360q1 68265j1 37925e1 |
Quadratic twists by: -4 -3 5 |