Atkin-Lehner |
3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43953j |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
237259568637 = 34 · 73 · 135 · 23 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5203,-140820] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:31:1] |
Generators of the group modulo torsion |
j |
45422866432000/691718859 |
j-invariant |
L |
3.1092967852715 |
L(r)(E,1)/r! |
Ω |
0.56263901162311 |
Real period |
R |
1.3815682529297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43953z1 |
Quadratic twists by: -7 |