Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55176i |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11787881859072 = -1 · 211 · 32 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11- 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2864,-155252] |
[a1,a2,a3,a4,a6] |
Generators |
[1946:30855:8] |
Generators of the group modulo torsion |
j |
715822/3249 |
j-invariant |
L |
5.8735786052703 |
L(r)(E,1)/r! |
Ω |
0.36085694319591 |
Real period |
R |
4.0691877459898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110352q2 456a2 |
Quadratic twists by: -4 -11 |