Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425bf |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-1516252457238045625 = -1 · 54 · 716 · 73 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 3 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197455,-68144128] |
[a1,a2,a3,a4,a6] |
j |
-11578646613825/20620693177 |
j-invariant |
L |
1.7097467839037 |
L(r)(E,1)/r! |
Ω |
0.1068591704446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425h1 12775n1 |
Quadratic twists by: 5 -7 |