Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264bf |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-67682304 = -1 · 214 · 35 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 4 1 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,-477] |
[a1,a2,a3,a4,a6] |
j |
-2249728/4131 |
j-invariant |
L |
3.8988088642556 |
L(r)(E,1)/r! |
Ω |
0.77976177285112 |
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 |
3264j1 816c1 9792bt1 81600fw1 |
Quadratic twists by: -4 8 -3 5 |