Atkin-Lehner |
2- 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608i |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2755584 |
Modular degree for the optimal curve |
Δ |
-2.4477422059703E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716499,-2391769890] |
[a1,a2,a3,a4,a6] |
j |
-2018269832704524/121443542550317 |
j-invariant |
L |
0.12744688949277 |
L(r)(E,1)/r! |
Ω |
0.063723444796732 |
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 |
99216b1 49608b1 |
Quadratic twists by: -4 -3 |