Atkin-Lehner |
2- 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8772c |
Isogeny class |
Conductor |
8772 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3683397888 = -1 · 28 · 39 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,2916] |
[a1,a2,a3,a4,a6] |
j |
-549250000/14388273 |
j-invariant |
L |
3.5181346131714 |
L(r)(E,1)/r! |
Ω |
1.1727115377238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35088j1 26316h1 |
Quadratic twists by: -4 -3 |