Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770z |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
456295242600000 = 26 · 316 · 55 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25223,1155647] |
[a1,a2,a3,a4,a6] |
j |
2434278488702761/625919400000 |
j-invariant |
L |
2.9609893188288 |
L(r)(E,1)/r! |
Ω |
0.4934982198048 |
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 |
38160bn1 1590i1 23850o1 |
Quadratic twists by: -4 -3 5 |