Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550u |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8710342593750000 = 24 · 39 · 59 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64799442,-200756664284] |
[a1,a2,a3,a4,a6] |
j |
2641739317048851306841/764694000 |
j-invariant |
L |
1.7027728485152 |
L(r)(E,1)/r! |
Ω |
0.053211651470693 |
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 |
17850bf2 10710bg2 |
Quadratic twists by: -3 5 |