Atkin-Lehner |
7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9163a |
Isogeny class |
Conductor |
9163 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6636 |
Modular degree for the optimal curve |
Δ |
-311547140443 = -1 · 78 · 11 · 173 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1143,-31083] |
[a1,a2,a3,a4,a6] |
j |
-28672000/54043 |
j-invariant |
L |
0.38657901255675 |
L(r)(E,1)/r! |
Ω |
0.38657901255675 |
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 |
82467i1 9163b1 100793c1 |
Quadratic twists by: -3 -7 -11 |