Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cl |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3969000000000000 = 212 · 34 · 512 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-525033,146223063] |
[a1,a2,a3,a4,a6] |
j |
250094631024064/62015625 |
j-invariant |
L |
3.43472777103 |
L(r)(E,1)/r! |
Ω |
0.4293409713785 |
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 |
33600bc2 16800f1 100800ee2 6720h2 |
Quadratic twists by: -4 8 -3 5 |