Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960dg |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1360511408067840000 = 211 · 312 · 54 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333216,-48400416] |
[a1,a2,a3,a4,a6] |
j |
16981825082402/5646560625 |
j-invariant |
L |
2.448180948761 |
L(r)(E,1)/r! |
Ω |
0.20401509858756 |
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 |
2040l3 |
Quadratic twists by: -7 |