Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720d |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
326562500000000 = 28 · 514 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27156,1496000] |
[a1,a2,a3,a4,a6] |
Generators |
[14770074:-139019113:287496] |
Generators of the group modulo torsion |
j |
8651614090955344/1275634765625 |
j-invariant |
L |
6.8961400319839 |
L(r)(E,1)/r! |
Ω |
0.5200537382301 |
Real period |
R |
13.260437383747 |
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 |
8360n2 66880dv2 83600f2 |
Quadratic twists by: -4 8 5 |