Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744bd |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-13718968384 = -1 · 26 · 118 |
Discriminant |
Eigenvalues |
2- 2 -1 -2 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,-4486] |
[a1,a2,a3,a4,a6] |
Generators |
[323:5808:1] |
Generators of the group modulo torsion |
j |
704 |
j-invariant |
L |
5.2254122550866 |
L(r)(E,1)/r! |
Ω |
0.6667092801625 |
Real period |
R |
2.6125391334051 |
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 |
7744be1 3872e1 69696fv1 7744ba1 |
Quadratic twists by: -4 8 -3 -11 |