Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13254l |
Isogeny class |
Conductor |
13254 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
288768 |
Modular degree for the optimal curve |
Δ |
-362598273285296508 = -1 · 22 · 34 · 479 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,105986,-25739392] |
[a1,a2,a3,a4,a6] |
j |
117649/324 |
j-invariant |
L |
0.62140704276069 |
L(r)(E,1)/r! |
Ω |
0.15535176069017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032v1 39762k1 13254k1 |
Quadratic twists by: -4 -3 -47 |