Atkin-Lehner |
2- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89936i |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
64520895824 = 24 · 73 · 115 · 73 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 11+ 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,-761] |
[a1,a2,a3,a4,a6] |
j |
6995276218368/4032555989 |
j-invariant |
L |
0.92422243489781 |
L(r)(E,1)/r! |
Ω |
0.92422233919802 |
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 |
22484f1 |
Quadratic twists by: -4 |