Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5445g |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
211833033615225 = 314 · 52 · 116 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147038,-21653508] |
[a1,a2,a3,a4,a6] |
Generators |
[7703:671328:1] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
j-invariant |
L |
2.2803601243383 |
L(r)(E,1)/r! |
Ω |
0.24381369453368 |
Real period |
R |
4.6764397887899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87120dz6 1815a5 27225bi6 45a5 |
Quadratic twists by: -4 -3 5 -11 |