Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344y |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4227866689536 = 217 · 37 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403,-116534] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] |
Generators of the group modulo torsion |
j |
5841725401/1415904 |
j-invariant |
L |
5.2426022112791 |
L(r)(E,1)/r! |
Ω |
0.56667947801014 |
Real period |
R |
2.3128604505323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418v1 14448w1 |
Quadratic twists by: -4 -3 |