Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784c |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-6891087280896 = -1 · 28 · 36 · 75 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 4 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4697,-175371] |
[a1,a2,a3,a4,a6] |
j |
-20380171264/12252303 |
j-invariant |
L |
1.1225213467664 |
L(r)(E,1)/r! |
Ω |
0.28063033599867 |
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 |
28392m1 56784h1 |
Quadratic twists by: -4 13 |