Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4278o |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
810 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-152624900793014784 = -1 · 29 · 39 · 232 · 315 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -3 -5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139696,-27528448] |
[a1,a2,a3,a4,a6] |
Generators |
[752:-17488:1] |
Generators of the group modulo torsion |
j |
-301492018259600732929/152624900793014784 |
j-invariant |
L |
5.7649952015762 |
L(r)(E,1)/r! |
Ω |
0.12058550259453 |
Real period |
R |
0.059022667513931 |
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 |
34224p1 12834d1 106950c1 98394bo1 |
Quadratic twists by: -4 -3 5 -23 |