Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182i |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-31457808 = -1 · 24 · 37 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -5 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,324] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] [0:18:1] |
Generators of the group modulo torsion |
j |
-24137569/43152 |
j-invariant |
L |
4.0105303567078 |
L(r)(E,1)/r! |
Ω |
1.861654304581 |
Real period |
R |
0.26928538416326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bw1 5394k1 |
Quadratic twists by: -4 -3 |