Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328ba |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-1.7384649498915E+24 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 -3 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17415144,56942058132] |
[a1,a2,a3,a4,a6] |
Generators |
[-972:197730:1] |
Generators of the group modulo torsion |
j |
142608347930492655397991/424429919407109820672 |
j-invariant |
L |
8.3140679115788 |
L(r)(E,1)/r! |
Ω |
0.059072007345796 |
Real period |
R |
0.71083147271207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666f1 117312cb1 87984bv1 |
Quadratic twists by: -4 8 -3 |