Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232ba |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
1143182834916655104 = 219 · 35 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11+ 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273160,-19230992] |
[a1,a2,a3,a4,a6] |
j |
674636521/342144 |
j-invariant |
L |
1.3220692644267 |
L(r)(E,1)/r! |
Ω |
0.22034490239691 |
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 |
11154t1 89232bk1 |
Quadratic twists by: -4 13 |