Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cz |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
345779280 = 24 · 36 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,8143] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:126:1] |
Generators of the group modulo torsion |
j |
4294967296/29645 |
j-invariant |
L |
5.4719249632979 |
L(r)(E,1)/r! |
Ω |
1.7152275423042 |
Real period |
R |
1.5951017659121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860q1 6160m1 |
Quadratic twists by: -4 -3 |