Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gp |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
88527103967232 = 214 · 38 · 77 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64092,6228880] |
[a1,a2,a3,a4,a6] |
Generators |
[224:-1764:1] [-154:3528:1] |
Generators of the group modulo torsion |
j |
20720464/63 |
j-invariant |
L |
6.4622766555656 |
L(r)(E,1)/r! |
Ω |
0.60665800185792 |
Real period |
R |
0.66576603248624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224cu2 7056cb2 9408dd2 4032bn2 |
Quadratic twists by: -4 8 -3 -7 |