Atkin-Lehner |
2- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144m |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
155050087696 = 24 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ -3 2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1486,-11789] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:49:1] |
Generators of the group modulo torsion |
j |
3937024/1681 |
j-invariant |
L |
5.7080516014405 |
L(r)(E,1)/r! |
Ω |
0.79905119823816 |
Real period |
R |
1.1905894586868 |
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 |
8036c1 128576cd1 32144q1 |
Quadratic twists by: -4 8 -7 |