Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080t |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
706058649600 = 221 · 3 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130960,18284992] |
[a1,a2,a3,a4,a6] |
j |
60643335401133841/172377600 |
j-invariant |
L |
1.5720223027178 |
L(r)(E,1)/r! |
Ω |
0.78601115135891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2010k2 64320cj2 48240bs2 80400da2 |
Quadratic twists by: -4 8 -3 5 |