Atkin-Lehner |
7- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
54439d |
Isogeny class |
Conductor |
54439 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4191803 = -1 · 73 · 112 · 101 |
Discriminant |
Eigenvalues |
1 1 -2 7- 11- -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1062,-13401] |
[a1,a2,a3,a4,a6] |
Generators |
[39:50:1] |
Generators of the group modulo torsion |
j |
-385669378639/12221 |
j-invariant |
L |
5.1617230253861 |
L(r)(E,1)/r! |
Ω |
0.41820247894049 |
Real period |
R |
3.0856602275835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54439g1 |
Quadratic twists by: -7 |