Atkin-Lehner |
2- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
16268d |
Isogeny class |
Conductor |
16268 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
635419425424 = 24 · 78 · 832 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 1 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5602,154909] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4067:1] |
Generators of the group modulo torsion |
j |
210827008/6889 |
j-invariant |
L |
4.2255604466056 |
L(r)(E,1)/r! |
Ω |
0.90678511594637 |
Real period |
R |
0.77665597069186 |
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 |
65072k1 16268f1 |
Quadratic twists by: -4 -7 |