Atkin-Lehner |
3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165c |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6468173233335 = 39 · 5 · 114 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5280,84005] |
[a1,a2,a3,a4,a6] |
j |
827142723603/328617245 |
j-invariant |
L |
2.7323725422247 |
L(r)(E,1)/r! |
Ω |
0.68309313555583 |
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 |
33165g2 |
Quadratic twists by: -3 |