Atkin-Lehner |
3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675q |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7891239284248E+27 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 2 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13477571667,-602227632848634] |
[a1,a2,a3,a4,a6] |
j |
23769010769195027624595182569/157069864772544931875 |
j-invariant |
L |
1.7935223110783 |
L(r)(E,1)/r! |
Ω |
0.014011893070307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225l2 14535l2 |
Quadratic twists by: -3 5 |