Atkin-Lehner |
2+ 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520k |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-111232000 = -1 · 210 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 11+ 1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
185073116/108625 |
j-invariant |
L |
4.5184327531769 |
L(r)(E,1)/r! |
Ω |
1.1375957810622 |
Real period |
R |
0.66198568792151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34760g1 |
Quadratic twists by: -4 |