Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5056u |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
5056 = 26 · 79 |
Discriminant |
Eigenvalues |
2- -1 3 1 -6 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,2] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
140608/79 |
j-invariant |
L |
3.756923888207 |
L(r)(E,1)/r! |
Ω |
3.7248447157384 |
Real period |
R |
1.0086122173988 |
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 |
5056m1 2528d1 45504cb1 126400bx1 |
Quadratic twists by: -4 8 -3 5 |