Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cx |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-267567496930787328 = -1 · 227 · 34 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115231,-19778145] |
[a1,a2,a3,a4,a6] |
Generators |
[439:10752:1] |
Generators of the group modulo torsion |
j |
645487763368967/1020688998912 |
j-invariant |
L |
5.3519169656659 |
L(r)(E,1)/r! |
Ω |
0.16358917395749 |
Real period |
R |
2.044724611774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592q2 21648u2 |
Quadratic twists by: -4 8 |