Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bg |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-1195722 = -1 · 2 · 34 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 11- 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8,-54] |
[a1,a2,a3,a4,a6] |
j |
-471625/9882 |
j-invariant |
L |
4.7243092015451 |
L(r)(E,1)/r! |
Ω |
1.1810773004274 |
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 |
44286r1 |
Quadratic twists by: -11 |