Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818y |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
134064 |
Modular degree for the optimal curve |
Δ |
426160654123008 = 219 · 3 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 6 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19601,-361047] |
[a1,a2,a3,a4,a6] |
j |
144469264849/73924608 |
j-invariant |
L |
8.0981468044613 |
L(r)(E,1)/r! |
Ω |
0.42621825286638 |
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 |
110544bu1 41454f1 13818q1 |
Quadratic twists by: -4 -3 -7 |