Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dt |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
164456617476096 = 218 · 34 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23937,1277055] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1380:1] |
Generators of the group modulo torsion |
j |
5786435182177/627352209 |
j-invariant |
L |
9.2315328165939 |
L(r)(E,1)/r! |
Ω |
0.5562722505792 |
Real period |
R |
2.0744187776249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48576c2 12144w2 |
Quadratic twists by: -4 8 |