Atkin-Lehner |
5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17545m |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
73776725 = 52 · 112 · 293 |
Discriminant |
Eigenvalues |
0 -2 5- 1 11- -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5595,159231] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:502:1] [5:362:1] |
Generators of the group modulo torsion |
j |
160109180256256/609725 |
j-invariant |
L |
4.7954509334139 |
L(r)(E,1)/r! |
Ω |
1.7031542710563 |
Real period |
R |
0.46927153682907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87725k2 17545j2 |
Quadratic twists by: 5 -11 |