Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ee |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.11152892816E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3111633,1375945137] |
[a1,a2,a3,a4,a6] |
j |
13015144447800784/4341909875625 |
j-invariant |
L |
2.2817446930708 |
L(r)(E,1)/r! |
Ω |
0.14260904331713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600cs2 8400s2 100800lc2 6720cl2 |
Quadratic twists by: -4 8 -3 5 |