Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822z |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
182349834756 = 22 · 3 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7047,-227355] |
[a1,a2,a3,a4,a6] |
j |
822656953/3876 |
j-invariant |
L |
4.1697622474636 |
L(r)(E,1)/r! |
Ω |
0.5212202809354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466t1 1938a1 |
Quadratic twists by: -3 -19 |