Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936q |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
352824263776512 = 28 · 311 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18111,-251714] |
[a1,a2,a3,a4,a6] |
j |
3520331082448/1890562113 |
j-invariant |
L |
1.7518744174589 |
L(r)(E,1)/r! |
Ω |
0.43796860429061 |
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 |
22968r1 15312f1 |
Quadratic twists by: -4 -3 |