Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152ba |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
8236800 |
Modular degree for the optimal curve |
Δ |
-4.9503382078061E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 0 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1335210416,-18779485060524] |
[a1,a2,a3,a4,a6] |
j |
-64270680662155941646665331249/120857866401516355584 |
j-invariant |
L |
2.597439358597 |
L(r)(E,1)/r! |
Ω |
0.012487689224028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894i1 124608cc1 93456bf1 |
Quadratic twists by: -4 8 -3 |