Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76725o |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7004160 |
Modular degree for the optimal curve |
Δ |
4.3958706764616E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22617342,-40147597809] |
[a1,a2,a3,a4,a6] |
j |
112331320422638310937/3859200593875737 |
j-invariant |
L |
0.55500196905802 |
L(r)(E,1)/r! |
Ω |
0.069375243089575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25575m1 3069a1 |
Quadratic twists by: -3 5 |