Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37100c |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
649250000 = 24 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,4125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:68:1] |
Generators of the group modulo torsion |
j |
55296000/2597 |
j-invariant |
L |
4.9778671725827 |
L(r)(E,1)/r! |
Ω |
1.6002619343505 |
Real period |
R |
3.1106577402919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1484c1 |
Quadratic twists by: 5 |