Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720bi |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-7121382400000000 = -1 · 216 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,733,-4060126] |
[a1,a2,a3,a4,a6] |
j |
10633486599/1738618750000 |
j-invariant |
L |
1.5428081136274 |
L(r)(E,1)/r! |
Ω |
0.19285101420342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2090h4 66880cf3 83600bp3 |
Quadratic twists by: -4 8 5 |