Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170cb |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.6550307791198E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-255046,295046576] |
[a1,a2,a3,a4,a6] |
Generators |
[200:15776:1] |
Generators of the group modulo torsion |
j |
-15595206456730321/310672490129100 |
j-invariant |
L |
8.2213629250027 |
L(r)(E,1)/r! |
Ω |
0.1730677471238 |
Real period |
R |
0.98966096870939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360eb5 48510bn5 80850w5 330c6 |
Quadratic twists by: -4 -3 5 -7 |