Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450df |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-16143349612500000 = -1 · 25 · 36 · 58 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82242,10964916] |
[a1,a2,a3,a4,a6] |
j |
-121945/32 |
j-invariant |
L |
0.37243826260444 |
L(r)(E,1)/r! |
Ω |
0.37243826483018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bi3 54450fq1 450b3 |
Quadratic twists by: -3 5 -11 |