Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bn |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
13813248 = 29 · 3 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 4 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-862,9668] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-2:1] |
Generators of the group modulo torsion |
j |
133912564177/26112 |
j-invariant |
L |
13.609947580159 |
L(r)(E,1)/r! |
Ω |
2.1665975136129 |
Real period |
R |
0.69796830665909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958bj1 |
Quadratic twists by: -23 |