Atkin-Lehner |
2+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832m |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3981565067264 = 215 · 414 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4076,-28560] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:205:1] |
Generators of the group modulo torsion |
j |
228547409544/121507723 |
j-invariant |
L |
3.6134520440214 |
L(r)(E,1)/r! |
Ω |
0.63474701119041 |
Real period |
R |
1.4231859396975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998828172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112832j4 56416p3 |
Quadratic twists by: -4 8 |