Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37510l |
Isogeny class |
Conductor |
37510 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1197504 |
Modular degree for the optimal curve |
Δ |
-8780702457822625000 = -1 · 23 · 56 · 119 · 313 |
Discriminant |
Eigenvalues |
2- 2 5- -3 11+ 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-619220,235327357] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:20121:1] |
Generators of the group modulo torsion |
j |
-11135879290691/3723875000 |
j-invariant |
L |
12.501674411716 |
L(r)(E,1)/r! |
Ω |
0.218712799036 |
Real period |
R |
1.5877842320586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37510f1 |
Quadratic twists by: -11 |