Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112o |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9039693312 = 29 · 310 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28731,-1874446] |
[a1,a2,a3,a4,a6] |
Generators |
[226:1782:1] [13666:561935:8] |
Generators of the group modulo torsion |
j |
7027137464264/24219 |
j-invariant |
L |
10.481805189391 |
L(r)(E,1)/r! |
Ω |
0.36670088572456 |
Real period |
R |
28.584073825713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bg4 28704o4 |
Quadratic twists by: -4 -3 |