Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288bx |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-75616989254516736 = -1 · 223 · 37 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 2 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24987,-13317302] |
[a1,a2,a3,a4,a6] |
Generators |
[2109:96512:1] |
Generators of the group modulo torsion |
j |
-577801395289/25323976704 |
j-invariant |
L |
6.5532469485406 |
L(r)(E,1)/r! |
Ω |
0.15068007246188 |
Real period |
R |
0.90606525378336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6786s1 18096be1 |
Quadratic twists by: -4 -3 |