Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bo |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
39510628945920000 = 215 · 32 · 54 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1538276,-734409502] |
[a1,a2,a3,a4,a6] |
j |
3004724101225/294912 |
j-invariant |
L |
2.4401475350193 |
L(r)(E,1)/r! |
Ω |
0.13556375194552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450gx2 18150by2 18150df2 |
Quadratic twists by: -3 5 -11 |