Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770g |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
113945149440 = 216 · 38 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1215,-1139] |
[a1,a2,a3,a4,a6] |
j |
272223782641/156303360 |
j-invariant |
L |
1.7565792534621 |
L(r)(E,1)/r! |
Ω |
0.87828962673104 |
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 |
38160bk1 1590p1 23850ct1 |
Quadratic twists by: -4 -3 5 |