Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744n |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-319277809664 = -1 · 214 · 117 |
Discriminant |
Eigenvalues |
2+ 3 3 2 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1936,-42592] |
[a1,a2,a3,a4,a6] |
j |
-27648/11 |
j-invariant |
L |
6.3528751570709 |
L(r)(E,1)/r! |
Ω |
0.35293750872616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7744bk1 968e1 69696dg1 704e1 |
Quadratic twists by: -4 8 -3 -11 |