Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560cj |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
2841907200 = 212 · 3 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231280,-42888172] |
[a1,a2,a3,a4,a6] |
j |
334025696259022321/693825 |
j-invariant |
L |
3.4832517339663 |
L(r)(E,1)/r! |
Ω |
0.21770323300456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785a1 |
Quadratic twists by: -4 |