Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442o |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-8578239228 = -1 · 22 · 36 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 0 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,503,1016] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] [1:38:1] |
Generators of the group modulo torsion |
j |
494190983/300348 |
j-invariant |
L |
8.2816174961897 |
L(r)(E,1)/r! |
Ω |
0.80289351187951 |
Real period |
R |
0.28651985231955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442bi1 |
Quadratic twists by: 13 |