Atkin-Lehner |
2+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6248a |
Isogeny class |
Conductor |
6248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
1007877376 = 28 · 11 · 713 |
Discriminant |
Eigenvalues |
2+ 0 3 1 11+ -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1516,-22668] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:6:1] |
Generators of the group modulo torsion |
j |
1505155433472/3937021 |
j-invariant |
L |
4.6350429835815 |
L(r)(E,1)/r! |
Ω |
0.76523182995844 |
Real period |
R |
1.5142610389825 |
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 |
12496b1 49984g1 56232o1 68728e1 |
Quadratic twists by: -4 8 -3 -11 |