Atkin-Lehner |
2- 3+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33672f |
Isogeny class |
Conductor |
33672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
52827754051584 = 211 · 34 · 23 · 614 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12144,382284] |
[a1,a2,a3,a4,a6] |
j |
96719667989474/25794801783 |
j-invariant |
L |
1.1788991829414 |
L(r)(E,1)/r! |
Ω |
0.58944959147469 |
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 |
67344g3 101016d3 |
Quadratic twists by: -4 -3 |