Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bx |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-44526664089600 = -1 · 216 · 3 · 52 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1714,-319740] |
[a1,a2,a3,a4,a6] |
j |
4733169839/378470400 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ei1 48510bu1 80850l1 2310n1 |
Quadratic twists by: -4 -3 5 -7 |