Atkin-Lehner |
2+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37510d |
Isogeny class |
Conductor |
37510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-37454342662000 = -1 · 24 · 53 · 117 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1535,295741] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:565:1] |
Generators of the group modulo torsion |
j |
-225866529/21142000 |
j-invariant |
L |
4.3067559218886 |
L(r)(E,1)/r! |
Ω |
0.53402074438941 |
Real period |
R |
4.0323863512181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3410c1 |
Quadratic twists by: -11 |