Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832z |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4737138688 = 216 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 -4 -2 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,-87408] |
[a1,a2,a3,a4,a6] |
Generators |
[364:6840:1] |
Generators of the group modulo torsion |
j |
87151085028/72283 |
j-invariant |
L |
6.4740841944127 |
L(r)(E,1)/r! |
Ω |
0.61117947370877 |
Real period |
R |
5.2963854496118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112832b2 28208a2 |
Quadratic twists by: -4 8 |