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 |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
48559973990400 = 230 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14256,-558144] |
[a1,a2,a3,a4,a6] |
j |
78232514242609/11855462400 |
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 |
2010j1 64320cv1 48240bw1 80400de1 |
Quadratic twists by: -4 8 -3 5 |