Atkin-Lehner |
2+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
5056j |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
1294336 = 214 · 79 |
Discriminant |
Eigenvalues |
2+ 3 -1 1 6 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-16] |
[a1,a2,a3,a4,a6] |
j |
148176/79 |
j-invariant |
L |
4.4117201731101 |
L(r)(E,1)/r! |
Ω |
2.205860086555 |
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 |
5056o1 316b1 45504w1 126400z1 |
Quadratic twists by: -4 8 -3 5 |