Atkin-Lehner |
2- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89792p |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-735576064 = -1 · 219 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 2 -1 3 0 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-1471] |
[a1,a2,a3,a4,a6] |
j |
-1771561/2806 |
j-invariant |
L |
2.5386338462361 |
L(r)(E,1)/r! |
Ω |
0.63465847003435 |
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 |
89792a1 22448e1 |
Quadratic twists by: -4 8 |