Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bu |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
5282242875000 = 23 · 36 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132017,18495209] |
[a1,a2,a3,a4,a6] |
j |
349046010201856969/7245875000 |
j-invariant |
L |
4.231054756027 |
L(r)(E,1)/r! |
Ω |
0.70517579267117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
65520dr4 910c4 40950q4 57330do4 |
Quadratic twists by: -4 -3 5 -7 |