Atkin-Lehner |
2- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10664b |
Isogeny class |
Conductor |
10664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
5047740416 = 211 · 31 · 433 |
Discriminant |
Eigenvalues |
2- 2 3 2 1 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-864,9452] |
[a1,a2,a3,a4,a6] |
j |
34868843714/2464717 |
j-invariant |
L |
5.3500915705199 |
L(r)(E,1)/r! |
Ω |
1.33752289263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21328d1 85312f1 95976e1 |
Quadratic twists by: -4 8 -3 |