Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056z |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
42628651245648 = 24 · 318 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50340,4335919] |
[a1,a2,a3,a4,a6] |
Generators |
[41:1530:1] |
Generators of the group modulo torsion |
j |
1209527744512000/3654719757 |
j-invariant |
L |
5.1252816964972 |
L(r)(E,1)/r! |
Ω |
0.64473213922373 |
Real period |
R |
3.9747372472208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10764g1 14352bb1 |
Quadratic twists by: -4 -3 |