Atkin-Lehner |
2- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bo |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
14761984 = 214 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 1 1 0 2 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-269] |
[a1,a2,a3,a4,a6] |
j |
4194304/901 |
j-invariant |
L |
1.5947258077682 |
L(r)(E,1)/r! |
Ω |
1.5947258111773 |
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 |
57664s1 14416i1 |
Quadratic twists by: -4 8 |