Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bt |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-794041823232 = -1 · 212 · 310 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4224,114032] |
[a1,a2,a3,a4,a6] |
j |
-2791309312/265923 |
j-invariant |
L |
3.4969333561645 |
L(r)(E,1)/r! |
Ω |
0.87423333985579 |
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 |
4221f1 22512m1 |
Quadratic twists by: -4 -3 |