Atkin-Lehner |
2- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128q |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
5018624 = 210 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,120] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:13:1] |
Generators of the group modulo torsion |
j |
18966528/4901 |
j-invariant |
L |
2.6819474073327 |
L(r)(E,1)/r! |
Ω |
2.2719095816657 |
Real period |
R |
1.1804815776895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24128e1 6032a1 |
Quadratic twists by: -4 8 |