Atkin-Lehner |
2- 3- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672bt |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
259424256 = 215 · 3 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 5 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1496,-22764] |
[a1,a2,a3,a4,a6] |
j |
90458382169/63336 |
j-invariant |
L |
1.5352920510412 |
L(r)(E,1)/r! |
Ω |
0.76764552020711 |
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 |
15834b1 |
Quadratic twists by: -4 |