Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112ba |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.8152960832501E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1825212,-926712160] |
[a1,a2,a3,a4,a6] |
Generators |
[-778:4732:1] |
Generators of the group modulo torsion |
j |
225204042539923264/6079389853563 |
j-invariant |
L |
4.1850012063804 |
L(r)(E,1)/r! |
Ω |
0.13010290443903 |
Real period |
R |
4.0208568209385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112k2 28704c2 |
Quadratic twists by: -4 -3 |