Atkin-Lehner |
5+ 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725j |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
935220260556640625 = 510 · 7 · 23 · 296 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-255651,-17641927] |
[a1,a2,a3,a4,a6] |
j |
118261594889430049/59854096675625 |
j-invariant |
L |
1.3438079473967 |
L(r)(E,1)/r! |
Ω |
0.22396786137189 |
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 |
23345b1 |
Quadratic twists by: 5 |