Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925s |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
10841015625 = 3 · 58 · 11 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-361376,83585273] |
[a1,a2,a3,a4,a6] |
Generators |
[37211:7158546:1] |
Generators of the group modulo torsion |
j |
334025696259022321/693825 |
j-invariant |
L |
7.3656983703459 |
L(r)(E,1)/r! |
Ω |
0.83364777401438 |
Real period |
R |
8.8355041540827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71775bf1 4785a1 |
Quadratic twists by: -3 5 |