Atkin-Lehner |
7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9163a |
Isogeny class |
Conductor |
9163 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-130440152227 = -1 · 78 · 113 · 17 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-117763,-15594022] |
[a1,a2,a3,a4,a6] |
j |
-31330668544000/22627 |
j-invariant |
L |
0.38657901255675 |
L(r)(E,1)/r! |
Ω |
0.12885967085225 |
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 |
82467i2 9163b2 100793c2 |
Quadratic twists by: -3 -7 -11 |