Atkin-Lehner |
2+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128f |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-968714878976 = -1 · 219 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24097,1448609] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-32:1] [25:928:1] |
Generators of the group modulo torsion |
j |
-5903244155017/3695354 |
j-invariant |
L |
5.4667474936977 |
L(r)(E,1)/r! |
Ω |
0.8711103880377 |
Real period |
R |
0.78445102491729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24128r1 754a1 |
Quadratic twists by: -4 8 |