Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10406k |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-5923268889626176 = -1 · 26 · 114 · 436 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,34543,-2754839] |
[a1,a2,a3,a4,a6] |
Generators |
[70:51:1] [156:2459:1] |
Generators of the group modulo torsion |
j |
311338152171167/404567235136 |
j-invariant |
L |
5.3147814818899 |
L(r)(E,1)/r! |
Ω |
0.22735712005988 |
Real period |
R |
0.64934328382816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248bf2 93654v2 10406c2 |
Quadratic twists by: -4 -3 -11 |