Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330r |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
296910102528000 = 216 · 33 · 53 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17726,363899] |
[a1,a2,a3,a4,a6] |
j |
615967046154510049/296910102528000 |
j-invariant |
L |
3.8911831859925 |
L(r)(E,1)/r! |
Ω |
0.48639789824907 |
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 |
54990m1 91650bm1 |
Quadratic twists by: -3 5 |