Atkin-Lehner |
3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975g |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
4295917265625 = 38 · 57 · 172 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22500,1285875] |
[a1,a2,a3,a4,a6] |
j |
80627166849601/274938705 |
j-invariant |
L |
3.1240438867057 |
L(r)(E,1)/r! |
Ω |
0.78101097168224 |
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 |
110925bc1 7395m1 |
Quadratic twists by: -3 5 |