Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408bp |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-9067247960064 = -1 · 219 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 5 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-159711] |
[a1,a2,a3,a4,a6] |
j |
-2401/6 |
j-invariant |
L |
1.7735976330934 |
L(r)(E,1)/r! |
Ω |
0.29559960551557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408v1 2352r1 28224en1 9408ct1 |
Quadratic twists by: -4 8 -3 -7 |