Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320ck |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14149440000000000 = 215 · 32 · 510 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197121,-33261921] |
[a1,a2,a3,a4,a6] |
Generators |
[2507:123432:1] |
Generators of the group modulo torsion |
j |
25850840101954568/431806640625 |
j-invariant |
L |
5.7740354177675 |
L(r)(E,1)/r! |
Ω |
0.22680680768333 |
Real period |
R |
6.3644864507653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320bp2 8160j2 48960ft2 81600go2 |
Quadratic twists by: -4 8 -3 5 |