Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920f |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
246016000000 = 214 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20668,-1143408] |
[a1,a2,a3,a4,a6] |
j |
59593532744016/15015625 |
j-invariant |
L |
1.5927275765462 |
L(r)(E,1)/r! |
Ω |
0.39818189413655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9920r2 1240g2 89280cp2 49600r2 |
Quadratic twists by: -4 8 -3 5 |