Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18876j |
Isogeny class |
Conductor |
18876 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-252030470074050096 = -1 · 24 · 314 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13229,-24165264] |
[a1,a2,a3,a4,a6] |
j |
-9033613312/8891539371 |
j-invariant |
L |
1.9673770293712 |
L(r)(E,1)/r! |
Ω |
0.14052693066937 |
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 |
75504bl1 56628n1 1716c1 |
Quadratic twists by: -4 -3 -11 |