Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dp |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.2945777317548E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11426000,-12960582252] |
[a1,a2,a3,a4,a6] |
j |
339630096833/47239200 |
j-invariant |
L |
3.3149709363109 |
L(r)(E,1)/r! |
Ω |
0.082874273205491 |
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 |
8670q2 69360ca2 |
Quadratic twists by: -4 17 |