Atkin-Lehner |
3- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165k |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
629616796875 = 37 · 58 · 11 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106245,13355950] |
[a1,a2,a3,a4,a6] |
j |
181938238527312721/863671875 |
j-invariant |
L |
1.6132363737801 |
L(r)(E,1)/r! |
Ω |
0.80661818689163 |
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 |
11055d3 |
Quadratic twists by: -3 |