Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784da |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
110020121317736448 = 217 · 3 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 1 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132552,-9549708] |
[a1,a2,a3,a4,a6] |
j |
77086633/32928 |
j-invariant |
L |
4.6804912229953 |
L(r)(E,1)/r! |
Ω |
0.26002729032459 |
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 |
7098a1 56784cp1 |
Quadratic twists by: -4 13 |