Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gp |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-22725607587840000 = -1 · 218 · 314 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64788,3509584] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1440:1] |
Generators of the group modulo torsion |
j |
157376536199/118918125 |
j-invariant |
L |
4.8562957111247 |
L(r)(E,1)/r! |
Ω |
0.24352004661265 |
Real period |
R |
1.246379860298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520df3 20880bx4 27840dm3 |
Quadratic twists by: -4 8 -3 |