Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232y |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5052418840854528 = 218 · 3 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217728,39026688] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
0.8672850154272 |
L(r)(E,1)/r! |
Ω |
0.43364247459111 |
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 |
11154bf3 528g3 |
Quadratic twists by: -4 13 |