Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408v |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
2 |
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 |
1.2925914986626 |
L(r)(E,1)/r! |
Ω |
0.64629574933129 |
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 |
9408bp1 294a1 28224x1 9408h1 |
Quadratic twists by: -4 8 -3 -7 |