Atkin-Lehner |
2+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232j |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
9846495993921536 = 233 · 293 · 47 |
Discriminant |
Eigenvalues |
2+ 2 3 2 0 -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214049,-37745503] |
[a1,a2,a3,a4,a6] |
Generators |
[12889:1462272:1] |
Generators of the group modulo torsion |
j |
4137380171974153/37561401344 |
j-invariant |
L |
12.807374293883 |
L(r)(E,1)/r! |
Ω |
0.22207978172136 |
Real period |
R |
4.8058458240343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232p2 2726c2 |
Quadratic twists by: -4 8 |