Atkin-Lehner |
2+ 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614c |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
118736384412672 = 210 · 33 · 132 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12288,9216] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:470:1] [0:96:1] |
Generators of the group modulo torsion |
j |
7600172268847131/4397643867136 |
j-invariant |
L |
4.9889360499629 |
L(r)(E,1)/r! |
Ω |
0.49885603024148 |
Real period |
R |
1.2500941523016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16614l2 |
Quadratic twists by: -3 |