Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560p |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
3499594692941445120 = 211 · 313 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5793843,-5367068498] |
[a1,a2,a3,a4,a6] |
Generators |
[-55148782:779787:39304] |
Generators of the group modulo torsion |
j |
67208610722/10935 |
j-invariant |
L |
3.8329178657684 |
L(r)(E,1)/r! |
Ω |
0.097311040011169 |
Real period |
R |
9.8470786698988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120be1 14520br1 43560bw1 |
Quadratic twists by: -4 -3 -11 |