Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012b |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
-1738506348881456 = -1 · 24 · 710 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77225,8525998] |
[a1,a2,a3,a4,a6] |
j |
-11015019273109504/375974556419 |
j-invariant |
L |
0.93799836642931 |
L(r)(E,1)/r! |
Ω |
0.46899929957598 |
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 |
89012y1 |
Quadratic twists by: 17 |