Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bt |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1645787662752153600 = -1 · 220 · 32 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,195839,-51997535] |
[a1,a2,a3,a4,a6] |
Generators |
[283:5100:1] |
Generators of the group modulo torsion |
j |
3168685387909439/6278181696900 |
j-invariant |
L |
4.2745513909651 |
L(r)(E,1)/r! |
Ω |
0.13897597657371 |
Real period |
R |
1.9223427567974 |
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 |
16320bb6 4080be6 48960fd5 81600hu5 |
Quadratic twists by: -4 8 -3 5 |