Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520go |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4771286764282183680 = 220 · 322 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1860492,-971094256] |
[a1,a2,a3,a4,a6] |
Generators |
[-830:1152:1] |
Generators of the group modulo torsion |
j |
3726830856733921/24967098180 |
j-invariant |
L |
5.5045675657272 |
L(r)(E,1)/r! |
Ω |
0.12932066098224 |
Real period |
R |
2.6603287545896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999986556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520dc4 20880bw3 27840cl4 |
Quadratic twists by: -4 8 -3 |