Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25116c |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
48524112 = 24 · 32 · 72 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189,-882] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:3:1] [-7:7:1] |
Generators of the group modulo torsion |
j |
46912110592/3032757 |
j-invariant |
L |
5.8824881446574 |
L(r)(E,1)/r! |
Ω |
1.2922628636053 |
Real period |
R |
0.75868054278139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464cg1 75348e1 |
Quadratic twists by: -4 -3 |