Atkin-Lehner |
2+ 3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31734g |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
54794686901059584 = 216 · 38 · 413 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149328,19180800] |
[a1,a2,a3,a4,a6] |
j |
505151404935443713/75164179562496 |
j-invariant |
L |
2.0354372247553 |
L(r)(E,1)/r! |
Ω |
0.33923953745872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10578i1 |
Quadratic twists by: -3 |