Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126ew |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
23592960 |
Modular degree for the optimal curve |
Δ |
5.9623810378256E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24504836,-28274515545] |
[a1,a2,a3,a4,a6] |
j |
18974193623767438057/6951907079749632 |
j-invariant |
L |
4.4762006146483 |
L(r)(E,1)/r! |
Ω |
0.069940619476086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042t1 18018bb1 |
Quadratic twists by: -3 -7 |