Atkin-Lehner |
2- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1600r |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4000000000000 = -1 · 214 · 512 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3633,129137] |
[a1,a2,a3,a4,a6] |
j |
-20720464/15625 |
j-invariant |
L |
2.876616721784 |
L(r)(E,1)/r! |
Ω |
0.719154180446 |
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 |
1600g4 400e4 14400dw4 320f4 |
Quadratic twists by: -4 8 -3 5 |