Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182n |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1123421239296 = -1 · 211 · 39 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 0 -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2056,-36741] |
[a1,a2,a3,a4,a6] |
Generators |
[21:113:1] [29:201:1] |
Generators of the group modulo torsion |
j |
1319056901063/1541044224 |
j-invariant |
L |
8.0710006777085 |
L(r)(E,1)/r! |
Ω |
0.46766623642438 |
Real period |
R |
0.19611404383898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bk1 5394c1 |
Quadratic twists by: -4 -3 |