Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bx |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1004458926240000 = 28 · 32 · 54 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61006,-5600764] |
[a1,a2,a3,a4,a6] |
j |
213429068128081/8537760000 |
j-invariant |
L |
4.8724365200312 |
L(r)(E,1)/r! |
Ω |
0.30452728250195 |
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 |
129360ei2 48510bu2 80850l2 2310n2 |
Quadratic twists by: -4 -3 5 -7 |