Atkin-Lehner |
2- 3+ 13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
115362j |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-58532833008 = -1 · 24 · 39 · 13 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-920,-15605] |
[a1,a2,a3,a4,a6] |
j |
-4370722875/2973776 |
j-invariant |
L |
1.6829495103142 |
L(r)(E,1)/r! |
Ω |
0.42073751309141 |
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 |
115362a1 |
Quadratic twists by: -3 |