Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192o |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4600707831300096 = -1 · 226 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 5 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22893,2978642] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:486:1] |
Generators of the group modulo torsion |
j |
444369620591/1540767744 |
j-invariant |
L |
4.1674151056265 |
L(r)(E,1)/r! |
Ω |
0.30832933384996 |
Real period |
R |
1.6895145255845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
774d1 24768cm1 2064e1 |
Quadratic twists by: -4 8 -3 |