Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
16068b |
Isogeny class |
Conductor |
16068 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
9034256395008 = 28 · 39 · 132 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1113690388,-14304857981144] |
[a1,a2,a3,a4,a6] |
j |
596729023407096162852374674000/35290064043 |
j-invariant |
L |
1.2544393656371 |
L(r)(E,1)/r! |
Ω |
0.026134153450773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64272x2 48204j2 |
Quadratic twists by: -4 -3 |