Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bm |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35595513198630 = 2 · 36 · 5 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16171,730883] |
[a1,a2,a3,a4,a6] |
j |
11589205447/882090 |
j-invariant |
L |
1.2760663433775 |
L(r)(E,1)/r! |
Ω |
0.63803317168874 |
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 |
129360ge2 48510bo2 80850cs2 16170cg2 |
Quadratic twists by: -4 -3 5 -7 |