Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136d |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-89915392 = -1 · 218 · 73 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-784] |
[a1,a2,a3,a4,a6] |
j |
-3375 |
j-invariant |
L |
1.367057817189 |
L(r)(E,1)/r! |
Ω |
0.68352890859449 |
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 |
3136r1 49a1 28224bn1 78400v1 |
Quadratic twists by: -4 8 -3 5 |