Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744bh |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-899086312013824 = -1 · 222 · 118 |
Discriminant |
Eigenvalues |
2- -2 3 -2 11- -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23071,519583] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2904:1] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
3.2010988974315 |
L(r)(E,1)/r! |
Ω |
0.31242276444318 |
Real period |
R |
1.7076748035826 |
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 |
7744j1 1936j1 69696gy1 7744bg1 |
Quadratic twists by: -4 8 -3 -11 |