Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592a |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6.4018471670588E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333473,633596833] |
[a1,a2,a3,a4,a6] |
Generators |
[144919898241528:23111084269933009:5677858304] |
Generators of the group modulo torsion |
j |
5360339745382407625/2442110888312832 |
j-invariant |
L |
3.6528084901046 |
L(r)(E,1)/r! |
Ω |
0.14528689596308 |
Real period |
R |
25.142036830594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592dg3 2706g3 |
Quadratic twists by: -4 8 |