Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
89780f |
Isogeny class |
Conductor |
89780 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-361833528676000000 = -1 · 28 · 56 · 676 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163100,38529752] |
[a1,a2,a3,a4,a6] |
j |
-20720464/15625 |
j-invariant |
L |
2.5005014377482 |
L(r)(E,1)/r! |
Ω |
0.2778334987413 |
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 |
20a3 |
Quadratic twists by: -67 |