Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720k |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5591168000 = 210 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2736,-54064] |
[a1,a2,a3,a4,a6] |
Generators |
[68:264:1] |
Generators of the group modulo torsion |
j |
2212741893316/5460125 |
j-invariant |
L |
6.1921090891654 |
L(r)(E,1)/r! |
Ω |
0.66019419996273 |
Real period |
R |
2.3448059258605 |
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 |
8360a2 66880da2 83600t2 |
Quadratic twists by: -4 8 5 |