Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400c |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1998218160000000 = 210 · 312 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131408,-18164688] |
[a1,a2,a3,a4,a6] |
j |
15684564006436/124888635 |
j-invariant |
L |
1.0034883985098 |
L(r)(E,1)/r! |
Ω |
0.25087210065146 |
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 |
28200x4 11280f3 |
Quadratic twists by: -4 5 |