Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560bh |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
43204872752363520 = 211 · 39 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2120283,-1188292842] |
[a1,a2,a3,a4,a6] |
Generators |
[-962147152338462:-24401511152208:1150034401333] |
Generators of the group modulo torsion |
j |
121995126/5 |
j-invariant |
L |
5.4628733439217 |
L(r)(E,1)/r! |
Ω |
0.12511292135227 |
Real period |
R |
21.831771190685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120c1 43560f1 43560a1 |
Quadratic twists by: -4 -3 -11 |