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 |
65380565930625 = 310 · 54 · 116 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10913,-200208] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:515:1] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
2.2803601243383 |
L(r)(E,1)/r! |
Ω |
0.48762738906736 |
Real period |
R |
2.338219894395 |
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 |
87120dz3 1815a4 27225bi3 45a4 |
Quadratic twists by: -4 -3 5 -11 |