Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cf |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
9147600 = 24 · 33 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-852,9571] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:110:1] |
Generators of the group modulo torsion |
j |
158328373248/21175 |
j-invariant |
L |
5.6089180947219 |
L(r)(E,1)/r! |
Ω |
2.2259686159234 |
Real period |
R |
1.2598825640617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860h1 55440by1 |
Quadratic twists by: -4 -3 |