Atkin-Lehner |
2- 3+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53328g |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38786382201397248 = 213 · 318 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89408,4042368] |
[a1,a2,a3,a4,a6] |
j |
19297353913890625/9469331592138 |
j-invariant |
L |
1.2931273488741 |
L(r)(E,1)/r! |
Ω |
0.32328183683282 |
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 |
6666h2 |
Quadratic twists by: -4 |