Atkin-Lehner |
2- 3+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16284a |
Isogeny class |
Conductor |
16284 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
9278781610752 = 28 · 39 · 232 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105428,13210344] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1298:1] |
Generators of the group modulo torsion |
j |
506239198471186000/36245240667 |
j-invariant |
L |
3.9235234795979 |
L(r)(E,1)/r! |
Ω |
0.69375336291689 |
Real period |
R |
1.8851673084036 |
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 |
65136t2 48852c2 |
Quadratic twists by: -4 -3 |