Atkin-Lehner |
2- 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320cr |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1211596800 = 215 · 3 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25241600,-48820058700] |
[a1,a2,a3,a4,a6] |
j |
434224598349573224294401/295800 |
j-invariant |
L |
4.3107256795844 |
L(r)(E,1)/r! |
Ω |
0.067355076414622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790r4 |
Quadratic twists by: -4 |