Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bz |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-4735011969073152 = -1 · 215 · 38 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31777,3953567] |
[a1,a2,a3,a4,a6] |
j |
-108299418804296/144501097689 |
j-invariant |
L |
6.2608524846718 |
L(r)(E,1)/r! |
Ω |
0.39130328029441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47424s3 23712k2 |
Quadratic twists by: -4 8 |