Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648s |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1648270882820352 = 28 · 3 · 74 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30444,593952] |
[a1,a2,a3,a4,a6] |
j |
259108432/136857 |
j-invariant |
L |
3.3240583369815 |
L(r)(E,1)/r! |
Ω |
0.4155072927007 |
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 |
121296g1 3192n1 |
Quadratic twists by: -4 -19 |