Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608bb |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.0291082219413E+23 |
Discriminant |
Eigenvalues |
2- 2 2 0 2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49305057,129725256833] |
[a1,a2,a3,a4,a6] |
j |
50565952762252669643257/1536982811714650112 |
j-invariant |
L |
4.7140522588163 |
L(r)(E,1)/r! |
Ω |
0.094281045174716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608f2 11152n2 |
Quadratic twists by: -4 8 |