Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770h |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
8111915424000 = 28 · 314 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8150040,-8953419200] |
[a1,a2,a3,a4,a6] |
j |
82125009821717833875841/11127456000 |
j-invariant |
L |
0.17870619699109 |
L(r)(E,1)/r! |
Ω |
0.089353098495544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160bj1 1590q1 23850cq1 |
Quadratic twists by: -4 -3 5 |