Atkin-Lehner |
2- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27376g |
Isogeny class |
Conductor |
27376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
940632197562368 = 239 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 2 4 2 -5 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255816,49864688] |
[a1,a2,a3,a4,a6] |
Generators |
[4370900:5308416:15625] |
Generators of the group modulo torsion |
j |
452010552257419849/229646532608 |
j-invariant |
L |
9.9436383824682 |
L(r)(E,1)/r! |
Ω |
0.48965261395204 |
Real period |
R |
5.0768841517112 |
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 |
3422b1 109504t1 |
Quadratic twists by: -4 8 |