Atkin-Lehner |
3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537i |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-266530971321747 = -1 · 310 · 11 · 177 |
Discriminant |
Eigenvalues |
0 3- 2 3 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1077777,-431027062] |
[a1,a2,a3,a4,a6] |
j |
-5736108018368512/11042163 |
j-invariant |
L |
2.9634475068263 |
L(r)(E,1)/r! |
Ω |
0.074086187670658 |
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 |
28611q1 104907bb1 561a1 |
Quadratic twists by: -3 -11 17 |