Atkin-Lehner |
2+ 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330l |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
-1.1534974576533E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-831784,-334670218] |
[a1,a2,a3,a4,a6] |
j |
-63643586870824372641529/11534974576533158400 |
j-invariant |
L |
1.7219911356592 |
L(r)(E,1)/r! |
Ω |
0.078272324348146 |
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 |
54990bq2 91650bx2 |
Quadratic twists by: -3 5 |