Atkin-Lehner |
2- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936r |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
89936 = 24 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 11- 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-28] |
[a1,a2,a3,a4,a6] |
j |
67108864/5621 |
j-invariant |
L |
2.2332810077044 |
L(r)(E,1)/r! |
Ω |
2.2332809763855 |
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 |
22484d1 |
Quadratic twists by: -4 |