Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232u |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8807806605312 = 211 · 34 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79824,-8706060] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:12:1] |
Generators of the group modulo torsion |
j |
5690357426/891 |
j-invariant |
L |
7.3781938278012 |
L(r)(E,1)/r! |
Ω |
0.28403366006956 |
Real period |
R |
1.6235298094097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44616m4 528d3 |
Quadratic twists by: -4 13 |