Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6279k |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
11100014261716653 = 322 · 7 · 133 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 7- -5 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55868,-392287] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:9473:8] |
Generators of the group modulo torsion |
j |
19285053992837632000/11100014261716653 |
j-invariant |
L |
8.7604760303594 |
L(r)(E,1)/r! |
Ω |
0.33791344462265 |
Real period |
R |
0.39280616803129 |
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 |
100464bc1 18837l1 43953k1 81627s1 |
Quadratic twists by: -4 -3 -7 13 |