Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624j |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
7102234832 = 24 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1143,13936] |
[a1,a2,a3,a4,a6] |
Generators |
[80:664:1] |
Generators of the group modulo torsion |
j |
256000/11 |
j-invariant |
L |
2.8942907573065 |
L(r)(E,1)/r! |
Ω |
1.3130736286221 |
Real period |
R |
4.4084211185379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4312i1 34496cr1 77616bi1 8624h1 |
Quadratic twists by: -4 8 -3 -7 |