Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fy |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
76492577639301120 = 216 · 32 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-484161,-128822175] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:708:1] |
Generators of the group modulo torsion |
j |
108108036004/658845 |
j-invariant |
L |
3.4624301386348 |
L(r)(E,1)/r! |
Ω |
0.18105538617305 |
Real period |
R |
4.780899074331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160dq3 29040br3 10560bk4 |
Quadratic twists by: -4 8 -11 |