Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220p |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-219977600158750000 = -1 · 24 · 57 · 711 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 5 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34365,-22709912] |
[a1,a2,a3,a4,a6] |
j |
-2384389341184/116861171875 |
j-invariant |
L |
1.9333049198978 |
L(r)(E,1)/r! |
Ω |
0.13809321611778 |
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 |
12460c1 |
Quadratic twists by: -7 |