Atkin-Lehner |
2+ 3+ |
Signs for the Atkin-Lehner involutions |
Class |
576a |
Isogeny class |
Conductor |
576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-27648 = -1 · 210 · 33 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,8] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
1.9430318018415 |
L(r)(E,1)/r! |
Ω |
2.9744774254022 |
Real period |
R |
0.65323467754298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
576e1 36a1 576a3 14400l1 |
Quadratic twists by: -4 8 -3 5 |