Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320cl |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-379651133276160 = -1 · 220 · 3 · 5 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209601,36877119] |
[a1,a2,a3,a4,a6] |
Generators |
[8949:53504:27] |
Generators of the group modulo torsion |
j |
-3884775383991601/1448254140 |
j-invariant |
L |
5.2630294609705 |
L(r)(E,1)/r! |
Ω |
0.5256496318349 |
Real period |
R |
5.0062143509914 |
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 |
16320b3 4080v3 48960fu3 81600gm3 |
Quadratic twists by: -4 8 -3 5 |