Atkin-Lehner |
2+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5056d |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
20709376 = 218 · 79 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 2 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,479] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:32:1] |
Generators of the group modulo torsion |
j |
912673/79 |
j-invariant |
L |
4.9863411227827 |
L(r)(E,1)/r! |
Ω |
2.1039256414082 |
Real period |
R |
0.59250443844647 |
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 |
5056t1 79a1 45504t1 126400e1 |
Quadratic twists by: -4 8 -3 5 |