Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bk |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-14695914660691968 = -1 · 224 · 35 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58567,2068089] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1123:1] |
Generators of the group modulo torsion |
j |
183610204387358375/121453840171008 |
j-invariant |
L |
10.682038733746 |
L(r)(E,1)/r! |
Ω |
0.24748932122171 |
Real period |
R |
0.11989337426555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518r2 22506o2 |
Quadratic twists by: -3 -11 |