Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470o |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
5.6804653349141E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-306519863,2065522864538] |
[a1,a2,a3,a4,a6] |
j |
503835593418244309249/898614000000 |
j-invariant |
L |
3.4704540167982 |
L(r)(E,1)/r! |
Ω |
0.11568180049276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290k2 |
Quadratic twists by: -43 |