Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57475d |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1662537336818359375 = 59 · 119 · 192 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22196505,40256346122] |
[a1,a2,a3,a4,a6] |
j |
32826402662859/45125 |
j-invariant |
L |
1.807076218597 |
L(r)(E,1)/r! |
Ω |
0.22588452728959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11495b2 57475a2 |
Quadratic twists by: 5 -11 |