Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302u |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
-1925485038048 = -1 · 25 · 3 · 113 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2147,-54511] |
[a1,a2,a3,a4,a6] |
Generators |
[76:703:1] |
Generators of the group modulo torsion |
j |
1094478419891375/1925485038048 |
j-invariant |
L |
8.6964169145352 |
L(r)(E,1)/r! |
Ω |
0.43636180292371 |
Real period |
R |
0.44287494440865 |
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 |
48906r2 |
Quadratic twists by: -3 |