Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bn |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.9345553543176E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3224740,2217485885] |
[a1,a2,a3,a4,a6] |
j |
31522423139920199089/164434491947880 |
j-invariant |
L |
2.6172197554365 |
L(r)(E,1)/r! |
Ω |
0.21810164628637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ia4 48510ba4 80850bz4 2310t4 |
Quadratic twists by: -4 -3 5 -7 |