Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784y |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-3776784477110421504 = -1 · 211 · 3 · 73 · 1311 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1742784,889892628] |
[a1,a2,a3,a4,a6] |
Generators |
[446:14196:1] |
Generators of the group modulo torsion |
j |
-59219479733906/382060497 |
j-invariant |
L |
9.541775191522 |
L(r)(E,1)/r! |
Ω |
0.24993431570782 |
Real period |
R |
1.5907138048829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28392s1 4368g1 |
Quadratic twists by: -4 13 |