Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bz |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
339495139620 = 22 · 315 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-129092,-17820061] |
[a1,a2,a3,a4,a6] |
j |
326355561310674169/465699780 |
j-invariant |
L |
4.5336451785053 |
L(r)(E,1)/r! |
Ω |
0.25186917658363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520eb1 2730p1 40950z1 57330ed1 |
Quadratic twists by: -4 -3 5 -7 |