Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5220p |
Isogeny class |
Conductor |
5220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-166447321200 = -1 · 24 · 315 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,483,-19199] |
[a1,a2,a3,a4,a6] |
Generators |
[80:729:1] |
Generators of the group modulo torsion |
j |
1068359936/14270175 |
j-invariant |
L |
4.0593758631305 |
L(r)(E,1)/r! |
Ω |
0.49982095297451 |
Real period |
R |
1.0152075055509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20880cl1 83520t1 1740e1 26100t1 |
Quadratic twists by: -4 8 -3 5 |