Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216k |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
321884928 = 28 · 34 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172,172] |
[a1,a2,a3,a4,a6] |
j |
2211014608/1257363 |
j-invariant |
L |
1.4744093516868 |
L(r)(E,1)/r! |
Ω |
1.4744093516856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9804d2 117648bc2 |
Quadratic twists by: -4 -3 |