Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cr |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3.2945965727466E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269476841,-1680214425705] |
[a1,a2,a3,a4,a6] |
Generators |
[244440632154524:28192585416868125:9367243712] |
Generators of the group modulo torsion |
j |
298244193811346574784/4540317078515625 |
j-invariant |
L |
8.6600301690702 |
L(r)(E,1)/r! |
Ω |
0.037296644437934 |
Real period |
R |
14.512079879172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041728 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160l2 58080bn1 10560o2 |
Quadratic twists by: -4 8 -11 |