Atkin-Lehner |
23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31487b |
Isogeny class |
Conductor |
31487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120384 |
Modular degree for the optimal curve |
Δ |
50218963003357 = 232 · 377 |
Discriminant |
Eigenvalues |
2 1 0 -3 1 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38788,2907591] |
[a1,a2,a3,a4,a6] |
j |
2515456000/19573 |
j-invariant |
L |
2.5476599109108 |
L(r)(E,1)/r! |
Ω |
0.63691497772734 |
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 |
851a1 |
Quadratic twists by: 37 |