Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576g |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-123094171648 = -1 · 218 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332,-17040] |
[a1,a2,a3,a4,a6] |
Generators |
[62:448:1] |
Generators of the group modulo torsion |
j |
-15438249/469567 |
j-invariant |
L |
2.7400474501421 |
L(r)(E,1)/r! |
Ω |
0.45468298683655 |
Real period |
R |
1.0043801686995 |
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 |
16576i1 259a1 116032k1 |
Quadratic twists by: -4 8 -7 |