Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528o |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
144958093137543168 = 219 · 32 · 78 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156728,-15375276] |
[a1,a2,a3,a4,a6] |
j |
103945647763581625/35390159457408 |
j-invariant |
L |
3.9451280237893 |
L(r)(E,1)/r! |
Ω |
0.24657050148683 |
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 |
3066c2 98112be2 73584w2 |
Quadratic twists by: -4 8 -3 |