Atkin-Lehner |
2+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128g |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
297984 |
Modular degree for the optimal curve |
Δ |
-1433010176 = -1 · 217 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3 1 -5 -4 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-644812,-199295632] |
[a1,a2,a3,a4,a6] |
j |
-226210687270871058/10933 |
j-invariant |
L |
2.6956360735246 |
L(r)(E,1)/r! |
Ω |
0.084238627297647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24128s1 3016b1 |
Quadratic twists by: -4 8 |