Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818r |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-12641240106432 = -1 · 26 · 36 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24648,-1509495] |
[a1,a2,a3,a4,a6] |
j |
-14076076848625/107448768 |
j-invariant |
L |
2.2851111884931 |
L(r)(E,1)/r! |
Ω |
0.19042593237442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544dg1 41454j1 1974l1 |
Quadratic twists by: -4 -3 -7 |