Atkin-Lehner |
2+ 11- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
128656i |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2187152 = 24 · 11 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 2 0 1 11- 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188,1055] |
[a1,a2,a3,a4,a6] |
j |
46172704000/136697 |
j-invariant |
L |
5.2221919395439 |
L(r)(E,1)/r! |
Ω |
2.6110958298289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64328d1 |
Quadratic twists by: -4 |