Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040bc |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
18059231232000 = 220 · 39 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71643,7378058] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:3456:1] |
Generators of the group modulo torsion |
j |
13619385906841/6048000 |
j-invariant |
L |
3.5435573885183 |
L(r)(E,1)/r! |
Ω |
0.67934674289051 |
Real period |
R |
1.304031198207 |
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 |
630i1 20160en1 1680m1 25200eg1 |
Quadratic twists by: -4 8 -3 5 |