Atkin-Lehner |
3- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109383n |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1559243939231169 = 32 · 198 · 1012 |
Discriminant |
Eigenvalues |
1 3- -2 -4 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-692767,-221985955] |
[a1,a2,a3,a4,a6] |
j |
781560821686897/33143049 |
j-invariant |
L |
0.66193236813997 |
L(r)(E,1)/r! |
Ω |
0.16548321008098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5757c2 |
Quadratic twists by: -19 |