Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856l |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2162410432 = -1 · 26 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,282,1208] |
[a1,a2,a3,a4,a6] |
j |
8000/7 |
j-invariant |
L |
0.95270798848816 |
L(r)(E,1)/r! |
Ω |
0.95270798853083 |
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 |
37856s1 75712cd1 224b1 |
Quadratic twists by: -4 8 13 |