Atkin-Lehner |
2- 3+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624k |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.6583354116685E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481391488,4065488667136] |
[a1,a2,a3,a4,a6] |
j |
3012027865619603298689994625/893148293864388168 |
j-invariant |
L |
1.8006510605374 |
L(r)(E,1)/r! |
Ω |
0.11254069196458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078g4 |
Quadratic twists by: -4 |