Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24012g |
Isogeny class |
Conductor |
24012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1120303872 = -1 · 28 · 38 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 -5 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,6212] |
[a1,a2,a3,a4,a6] |
Generators |
[16:18:1] |
Generators of the group modulo torsion |
j |
-143982592/6003 |
j-invariant |
L |
6.0824643740009 |
L(r)(E,1)/r! |
Ω |
1.5340815308963 |
Real period |
R |
0.66081498402576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048bc1 8004a1 |
Quadratic twists by: -4 -3 |