Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152bd |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
59698469161402368 = 232 · 3 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4638672,-3846902892] |
[a1,a2,a3,a4,a6] |
j |
2694913635715921176913/14574821572608 |
j-invariant |
L |
5.5551402941931 |
L(r)(E,1)/r! |
Ω |
0.10287296841107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894k1 124608cg1 93456bj1 |
Quadratic twists by: -4 8 -3 |