Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11956d |
Isogeny class |
Conductor |
11956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
630161926912 = 28 · 79 · 61 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 3 -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7660,-252664] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:343:8] |
Generators of the group modulo torsion |
j |
4812208/61 |
j-invariant |
L |
2.1097605904629 |
L(r)(E,1)/r! |
Ω |
0.51070561168428 |
Real period |
R |
2.0655349600575 |
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 |
47824l1 107604t1 11956h1 |
Quadratic twists by: -4 -3 -7 |