Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770k |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
19535639940 = 22 · 38 · 5 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139590,20108736] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:6444:1] |
Generators of the group modulo torsion |
j |
412630052957036641/26797860 |
j-invariant |
L |
2.7729566386401 |
L(r)(E,1)/r! |
Ω |
0.92212033913101 |
Real period |
R |
4.5107290029845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38160bp3 1590u3 23850cg3 |
Quadratic twists by: -4 -3 5 |