Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100p |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-353843750000 = -1 · 24 · 59 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6258,190613] |
[a1,a2,a3,a4,a6] |
j |
-108432576256/1415375 |
j-invariant |
L |
3.8434071713935 |
L(r)(E,1)/r! |
Ω |
0.96085181263078 |
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 |
17420f1 |
Quadratic twists by: 5 |