Atkin-Lehner |
2- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944o |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
241860608 = 215 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 0 2 4 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-314924,-68023152] |
[a1,a2,a3,a4,a6] |
j |
105412242907848456/7381 |
j-invariant |
L |
3.6276102473499 |
L(r)(E,1)/r! |
Ω |
0.20153390263302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42944u4 21472g4 |
Quadratic twists by: -4 8 |