Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4272d |
Isogeny class |
Conductor |
4272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
209977344 = 218 · 32 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224,-1164] |
[a1,a2,a3,a4,a6] |
j |
304821217/51264 |
j-invariant |
L |
2.4954425082792 |
L(r)(E,1)/r! |
Ω |
1.2477212541396 |
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 |
534a1 17088i1 12816g1 106800bg1 |
Quadratic twists by: -4 8 -3 5 |