Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11956c |
Isogeny class |
Conductor |
11956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
630161926912 = 28 · 79 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 7- 3 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3348,-62936] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:98:1] |
Generators of the group modulo torsion |
j |
137842000/20923 |
j-invariant |
L |
3.5195643956653 |
L(r)(E,1)/r! |
Ω |
0.63400724169599 |
Real period |
R |
0.92521666530977 |
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 |
47824i1 107604l1 1708a1 |
Quadratic twists by: -4 -3 -7 |