Atkin-Lehner |
2+ 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330d |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3307619135340 = 22 · 36 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3777,-19719] |
[a1,a2,a3,a4,a6] |
j |
5961345827339161/3307619135340 |
j-invariant |
L |
1.3053694550857 |
L(r)(E,1)/r! |
Ω |
0.65268472754285 |
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 |
54990bi2 91650dp2 |
Quadratic twists by: -3 5 |