Atkin-Lehner |
3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6045i |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
2361328125 = 3 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-195941,-33449224] |
[a1,a2,a3,a4,a6] |
j |
831958932702053269504/2361328125 |
j-invariant |
L |
2.0422577341973 |
L(r)(E,1)/r! |
Ω |
0.22691752602192 |
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 |
96720bo3 18135r3 30225f3 78585p3 |
Quadratic twists by: -4 -3 5 13 |