Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450db |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
122084081444531250 = 2 · 36 · 58 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15192117,22795431291] |
[a1,a2,a3,a4,a6] |
j |
6352571665/2 |
j-invariant |
L |
0.53256441999943 |
L(r)(E,1)/r! |
Ω |
0.26628221045117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6050bm2 54450fh2 54450gu2 |
Quadratic twists by: -3 5 -11 |