Atkin-Lehner |
2- 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422v |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26946638148193344 = 26 · 34 · 76 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-161979,-23830191] |
[a1,a2,a3,a4,a6] |
j |
470002339913017924657/26946638148193344 |
j-invariant |
L |
2.8659423825627 |
L(r)(E,1)/r! |
Ω |
0.23882853188023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49266q2 114954bz2 |
Quadratic twists by: -3 -7 |