Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264bb |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-835584 = -1 · 214 · 3 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 0 5 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,51] |
[a1,a2,a3,a4,a6] |
j |
-65536/51 |
j-invariant |
L |
2.5884441368875 |
L(r)(E,1)/r! |
Ω |
2.5884441368875 |
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 |
3264g1 816g1 9792bi1 81600fi1 |
Quadratic twists by: -4 8 -3 5 |