Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984x |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1414593046204416 = 212 · 39 · 132 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 3 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254016,49243248] |
[a1,a2,a3,a4,a6] |
j |
22483074023424/17546087 |
j-invariant |
L |
5.7118883410013 |
L(r)(E,1)/r! |
Ω |
0.47599069359648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5499a2 87984s1 |
Quadratic twists by: -4 -3 |