Atkin-Lehner |
3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6003a |
Isogeny class |
Conductor |
6003 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-39385683 = -1 · 310 · 23 · 29 |
Discriminant |
Eigenvalues |
0 3- 0 0 4 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,60,243] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
32768000/54027 |
j-invariant |
L |
3.3974605969692 |
L(r)(E,1)/r! |
Ω |
1.3969090315777 |
Real period |
R |
1.2160636520232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048bk1 2001c1 |
Quadratic twists by: -4 -3 |