Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720o |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4228320800000 = 28 · 55 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15900,-760048] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:60:1] |
Generators of the group modulo torsion |
j |
1736610544209616/16516878125 |
j-invariant |
L |
8.1255950529392 |
L(r)(E,1)/r! |
Ω |
0.42539985475694 |
Real period |
R |
1.910107622764 |
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 |
8360q2 66880co2 83600n2 |
Quadratic twists by: -4 8 5 |