Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
83148a |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-151986561792 = -1 · 28 · 3 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 1 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2253,45993] |
[a1,a2,a3,a4,a6] |
j |
-1024000/123 |
j-invariant |
L |
1.995990204388 |
L(r)(E,1)/r! |
Ω |
0.99799512904576 |
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 |
492a1 |
Quadratic twists by: 13 |