Atkin-Lehner |
2- 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62814t |
Isogeny class |
Conductor |
62814 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
17720583168 = 210 · 3 · 193 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 0 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-796,-5872] |
[a1,a2,a3,a4,a6] |
j |
8132727331/2583552 |
j-invariant |
L |
9.2133853946364 |
L(r)(E,1)/r! |
Ω |
0.92133853973174 |
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 |
62814b1 |
Quadratic twists by: -19 |