Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11956f |
Isogeny class |
Conductor |
11956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38976 |
Modular degree for the optimal curve |
Δ |
630161926912 = 28 · 79 · 61 |
Discriminant |
Eigenvalues |
2- -3 0 7- -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49735,-4268978] |
[a1,a2,a3,a4,a6] |
Generators |
[-16170:686:125] |
Generators of the group modulo torsion |
j |
1317006000/61 |
j-invariant |
L |
2.1877909434168 |
L(r)(E,1)/r! |
Ω |
0.31969454880153 |
Real period |
R |
3.421689471432 |
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 |
47824o1 107604k1 11956i1 |
Quadratic twists by: -4 -3 -7 |