Atkin-Lehner |
2+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
5056k |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
5301600256 = 226 · 79 |
Discriminant |
Eigenvalues |
2+ 3 3 -3 2 5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-556,3632] |
[a1,a2,a3,a4,a6] |
j |
72511713/20224 |
j-invariant |
L |
5.0653011225007 |
L(r)(E,1)/r! |
Ω |
1.2663252806252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5056p1 158a1 45504bb1 126400ba1 |
Quadratic twists by: -4 8 -3 5 |