Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576p |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-7641648 = -1 · 24 · 33 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30,117] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
6912000/17689 |
j-invariant |
L |
4.6685763037013 |
L(r)(E,1)/r! |
Ω |
1.6397225220355 |
Real period |
R |
0.71179364815731 |
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 |
19152e1 76608u1 9576c1 67032bm1 |
Quadratic twists by: -4 8 -3 -7 |