Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302v |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-44573293831402908 = -1 · 22 · 34 · 113 · 133 · 196 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19767,10102869] |
[a1,a2,a3,a4,a6] |
Generators |
[270:5793:1] |
Generators of the group modulo torsion |
j |
854170612877243375/44573293831402908 |
j-invariant |
L |
8.0466917748795 |
L(r)(E,1)/r! |
Ω |
0.27350917367027 |
Real period |
R |
0.81722749174891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48906s3 |
Quadratic twists by: -3 |