Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752x |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
4.8735456829595E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -1 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3238947,-1976309982] |
[a1,a2,a3,a4,a6] |
j |
46610525182518387/6044965142528 |
j-invariant |
L |
0.45399980795564 |
L(r)(E,1)/r! |
Ω |
0.11349995663408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9594a1 76752bf1 |
Quadratic twists by: -4 -3 |