Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731m |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-38706181371 = -1 · 36 · 11 · 136 |
Discriminant |
Eigenvalues |
-2 3- 1 2 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11894727,15789916444] |
[a1,a2,a3,a4,a6] |
Generators |
[1991210:-331:1000] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
2.9772156721655 |
L(r)(E,1)/r! |
Ω |
0.46719522322109 |
Real period |
R |
3.1862651030965 |
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 |
1859a3 99d3 |
Quadratic twists by: -3 13 |