Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50286m |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
403920 |
Modular degree for the optimal curve |
Δ |
-31576074405193728 = -1 · 211 · 32 · 174 · 295 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36276,8950450] |
[a1,a2,a3,a4,a6] |
j |
-63207555765625/378061498368 |
j-invariant |
L |
3.1973103971014 |
L(r)(E,1)/r! |
Ω |
0.31973103974141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50286a1 |
Quadratic twists by: 17 |