Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16080m |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3695775744000000 = 218 · 3 · 56 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-306096,65219520] |
[a1,a2,a3,a4,a6] |
j |
774351503748971569/902289000000 |
j-invariant |
L |
0.88271673795026 |
L(r)(E,1)/r! |
Ω |
0.44135836897513 |
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 |
2010j3 64320cv3 48240bw3 80400de3 |
Quadratic twists by: -4 8 -3 5 |