Atkin-Lehner |
7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9163b |
Isogeny class |
Conductor |
9163 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1108723 = -1 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
0 2 0 7- 11+ 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2403,46150] |
[a1,a2,a3,a4,a6] |
j |
-31330668544000/22627 |
j-invariant |
L |
2.2842406431817 |
L(r)(E,1)/r! |
Ω |
2.2842406431817 |
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 |
82467ba2 9163a2 100793k2 |
Quadratic twists by: -3 -7 -11 |