Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5676b |
Isogeny class |
Conductor |
5676 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1133451792 = 24 · 34 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -4 5 11+ 6 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-870,-9459] |
[a1,a2,a3,a4,a6] |
j |
4556806433536/70840737 |
j-invariant |
L |
1.7596135134811 |
L(r)(E,1)/r! |
Ω |
0.87980675674056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22704bg1 90816bn1 17028n1 62436f1 |
Quadratic twists by: -4 8 -3 -11 |