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 |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-5058864 = -1 · 24 · 32 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43,0] |
[a1,a2,a3,a4,a6] |
j |
536870912/316179 |
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 |
9804d1 117648bc1 |
Quadratic twists by: -4 -3 |