Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624x |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2077910990848 = 215 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-367843,85870050] |
[a1,a2,a3,a4,a6] |
j |
11422548526761/4312 |
j-invariant |
L |
2.6777672217728 |
L(r)(E,1)/r! |
Ω |
0.6694418054432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1078c2 34496cj2 77616fu2 1232k2 |
Quadratic twists by: -4 8 -3 -7 |