Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984bg |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
642084786929664 = 218 · 38 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54651,-4763990] |
[a1,a2,a3,a4,a6] |
j |
6045477024313/215032896 |
j-invariant |
L |
1.2517236714692 |
L(r)(E,1)/r! |
Ω |
0.31293092340587 |
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 |
10998m2 29328o2 |
Quadratic twists by: -4 -3 |