Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744be |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
1 |
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 |
[-3:56:1] |
Generators of the group modulo torsion |
j |
704 |
j-invariant |
L |
2.7901128200882 |
L(r)(E,1)/r! |
Ω |
0.84962802090089 |
Real period |
R |
3.2839227890928 |
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 |
7744bd1 3872d1 69696fr1 7744bf1 |
Quadratic twists by: -4 8 -3 -11 |