Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
39648k |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
555072 = 26 · 3 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54,-168] |
[a1,a2,a3,a4,a6] |
j |
277167808/8673 |
j-invariant |
L |
1.7618340553446 |
L(r)(E,1)/r! |
Ω |
1.7618340554038 |
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 |
39648i1 79296bf1 118944g1 |
Quadratic twists by: -4 8 -3 |