Atkin-Lehner |
2+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
5056i |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8271821799424 = 224 · 793 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5217,-41759] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:316:1] [-23:256:1] |
Generators of the group modulo torsion |
j |
59914169497/31554496 |
j-invariant |
L |
3.6220073075303 |
L(r)(E,1)/r! |
Ω |
0.5958413154045 |
Real period |
R |
0.50656766238066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5056n2 158d1 45504z2 126400q2 |
Quadratic twists by: -4 8 -3 5 |