Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731m |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-566697201452811 = -1 · 36 · 115 · 136 |
Discriminant |
Eigenvalues |
-2 3- 1 2 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15717,1373674] |
[a1,a2,a3,a4,a6] |
Generators |
[104:929:1] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
2.9772156721655 |
L(r)(E,1)/r! |
Ω |
0.46719522322109 |
Real period |
R |
0.63725302061931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1859a2 99d2 |
Quadratic twists by: -3 13 |