Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170z |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.2153953007504E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-591848,-50834122] |
[a1,a2,a3,a4,a6] |
j |
194878967635813609/103306896000000 |
j-invariant |
L |
2.1931957738674 |
L(r)(E,1)/r! |
Ω |
0.18276631448895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360fi2 48510dh2 80850dw2 2310a2 |
Quadratic twists by: -4 -3 5 -7 |