Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5445g |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4540317078515625 = -1 · 38 · 58 · 116 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38092,-1533144] |
[a1,a2,a3,a4,a6] |
Generators |
[1278:22831:8] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
87120dz5 1815a6 27225bi5 45a6 |
Quadratic twists by: -4 -3 5 -11 |