Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425r |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
6986328125 = 59 · 72 · 73 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -4 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-758,-6707] |
[a1,a2,a3,a4,a6] |
j |
62992384/9125 |
j-invariant |
L |
7.348565222452 |
L(r)(E,1)/r! |
Ω |
0.9185706571851 |
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 |
17885w1 89425d1 |
Quadratic twists by: 5 -7 |