Atkin-Lehner |
3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43575k |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
90097310190234375 = 314 · 58 · 7 · 832 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117876,-5847977] |
[a1,a2,a3,a4,a6] |
j |
11592432082874161/5766227852175 |
j-invariant |
L |
3.7973649553097 |
L(r)(E,1)/r! |
Ω |
0.2712403539487 |
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 |
8715g2 |
Quadratic twists by: 5 |