Atkin-Lehner |
2- 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040y |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-89640628224000000 = -1 · 218 · 3 · 56 · 72 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111544,1340400] |
[a1,a2,a3,a4,a6] |
j |
37471278716561591/21884919000000 |
j-invariant |
L |
0.8213602854027 |
L(r)(E,1)/r! |
Ω |
0.20534006945747 |
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 |
11130k3 |
Quadratic twists by: -4 |