Atkin-Lehner |
3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6045i |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
220896541125 = 33 · 53 · 133 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2501,-43345] |
[a1,a2,a3,a4,a6] |
j |
1730766274822144/220896541125 |
j-invariant |
L |
2.0422577341973 |
L(r)(E,1)/r! |
Ω |
0.68075257806577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96720bo2 18135r2 30225f2 78585p2 |
Quadratic twists by: -4 -3 5 13 |