Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232u |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-434192244135936 = -1 · 211 · 3 · 114 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14816,-718444] |
[a1,a2,a3,a4,a6] |
Generators |
[1308:9170:27] |
Generators of the group modulo torsion |
j |
36382894/43923 |
j-invariant |
L |
7.3781938278012 |
L(r)(E,1)/r! |
Ω |
0.28403366006956 |
Real period |
R |
6.4941192376387 |
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 |
44616m3 528d4 |
Quadratic twists by: -4 13 |