Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440u |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1064339066880000 = -1 · 215 · 38 · 54 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17055,1320543] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:-1080:1] [-54:495:1] |
Generators of the group modulo torsion |
j |
16741851437368/32481050625 |
j-invariant |
L |
12.687406730449 |
L(r)(E,1)/r! |
Ω |
0.33879604553092 |
Real period |
R |
0.58513295175592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440k2 42720f2 |
Quadratic twists by: -4 8 |