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 |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
4600707831300096 = 226 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275979,55708090] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2430:1] |
Generators of the group modulo torsion |
j |
778510269523657/1540767744 |
j-invariant |
L |
4.298279574706 |
L(r)(E,1)/r! |
Ω |
0.43537426953667 |
Real period |
R |
2.4681520449522 |
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 |
774h1 24768cp1 2064j1 |
Quadratic twists by: -4 8 -3 |