Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744ba |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-7744 = -1 · 26 · 112 |
Discriminant |
Eigenvalues |
2- 2 -1 2 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,2] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
704 |
j-invariant |
L |
5.8297376869229 |
L(r)(E,1)/r! |
Ω |
2.8178973567005 |
Real period |
R |
2.0688254215721 |
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 |
7744bf1 3872m1 69696fq1 7744bd1 |
Quadratic twists by: -4 8 -3 -11 |