Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330z |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1292265000000000 = -1 · 29 · 32 · 510 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26319,541161] |
[a1,a2,a3,a4,a6] |
j |
2016187106182949231/1292265000000000 |
j-invariant |
L |
5.4217792648079 |
L(r)(E,1)/r! |
Ω |
0.30120995915599 |
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 |
54990x2 91650j2 |
Quadratic twists by: -3 5 |