Atkin-Lehner |
2- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232p |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
6 |
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 |
[241:464:1] |
Generators of the group modulo torsion |
j |
4137380171974153/37561401344 |
j-invariant |
L |
5.5868309395384 |
L(r)(E,1)/r! |
Ω |
0.41010215881048 |
Real period |
R |
2.2705037556814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999799258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232j2 21808c2 |
Quadratic twists by: -4 8 |