Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800bc |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1036840000000 = -1 · 29 · 57 · 72 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,48988] |
[a1,a2,a3,a4,a6] |
Generators |
[63:550:1] |
Generators of the group modulo torsion |
j |
-8/129605 |
j-invariant |
L |
4.048379073172 |
L(r)(E,1)/r! |
Ω |
0.69585218579449 |
Real period |
R |
2.9089361229389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998868802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800c2 25760c2 |
Quadratic twists by: -4 5 |