Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5476a |
Isogeny class |
Conductor |
5476 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
24302560546048 = 28 · 377 |
Discriminant |
Eigenvalues |
2- -1 4 -3 5 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7301,-35087] |
[a1,a2,a3,a4,a6] |
j |
65536/37 |
j-invariant |
L |
2.2259584462245 |
L(r)(E,1)/r! |
Ω |
0.55648961155612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21904g1 87616i1 49284l1 148a1 |
Quadratic twists by: -4 8 -3 37 |