Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320y |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
705024000 = 212 · 34 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11321,459879] |
[a1,a2,a3,a4,a6] |
j |
39179284145344/172125 |
j-invariant |
L |
2.834996091267 |
L(r)(E,1)/r! |
Ω |
1.4174980456335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320e2 8160c1 48960dh2 81600bj2 |
Quadratic twists by: -4 8 -3 5 |