Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410v |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
177885288000 = 26 · 33 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2288,-36333] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:65:1] |
Generators of the group modulo torsion |
j |
416832723/56000 |
j-invariant |
L |
5.1117732450745 |
L(r)(E,1)/r! |
Ω |
0.69645625644917 |
Real period |
R |
0.61164086015687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280cv1 4410d3 22050d1 630h1 |
Quadratic twists by: -4 -3 5 -7 |