Atkin-Lehner |
2+ 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37960c |
Isogeny class |
Conductor |
37960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
59944002560 = 210 · 5 · 133 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -6 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3467,77686] |
[a1,a2,a3,a4,a6] |
Generators |
[30:26:1] |
Generators of the group modulo torsion |
j |
4500754044804/58539065 |
j-invariant |
L |
5.1094215513976 |
L(r)(E,1)/r! |
Ω |
1.1139122949525 |
Real period |
R |
1.5289718273597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75920f1 |
Quadratic twists by: -4 |