Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720u |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6629359616000000 = 224 · 56 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51096,2118896] |
[a1,a2,a3,a4,a6] |
Generators |
[298:4125:8] |
Generators of the group modulo torsion |
j |
3601910963276569/1618496000000 |
j-invariant |
L |
6.2563236276191 |
L(r)(E,1)/r! |
Ω |
0.37871175664344 |
Real period |
R |
2.7533357132742 |
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 |
2090d3 66880dg3 83600bw3 |
Quadratic twists by: -4 8 5 |