Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6432c |
Isogeny class |
Conductor |
6432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3695775744 = -1 · 212 · 3 · 673 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-2769] |
[a1,a2,a3,a4,a6] |
j |
107850176/902289 |
j-invariant |
L |
2.7769300952756 |
L(r)(E,1)/r! |
Ω |
0.69423252381891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6432k1 12864e1 19296m1 |
Quadratic twists by: -4 8 -3 |