Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192p |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3380118477838221312 = -1 · 219 · 320 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183819,93512122] |
[a1,a2,a3,a4,a6] |
Generators |
[1762:63855:8] |
Generators of the group modulo torsion |
j |
-230042158153417/1131994839168 |
j-invariant |
L |
4.298279574706 |
L(r)(E,1)/r! |
Ω |
0.21768713476834 |
Real period |
R |
4.9363040899044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
774h2 24768cp2 2064j2 |
Quadratic twists by: -4 8 -3 |