Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3192j |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
672959809536 = 211 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3232,-57620] |
[a1,a2,a3,a4,a6] |
j |
1823652903746/328593657 |
j-invariant |
L |
1.2820270828047 |
L(r)(E,1)/r! |
Ω |
0.64101354140234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6384p3 25536bj4 9576g3 79800k4 |
Quadratic twists by: -4 8 -3 5 |