Atkin-Lehner |
2+ 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782a |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-6477847435136 = -1 · 27 · 72 · 117 · 53 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 11- 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4232,-60986] |
[a1,a2,a3,a4,a6] |
j |
4733169839/3656576 |
j-invariant |
L |
1.6757950221641 |
L(r)(E,1)/r! |
Ω |
0.41894874761461 |
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 |
8162i1 |
Quadratic twists by: -11 |