Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408cn |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-5100326977536 = -1 · 215 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -1 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,-663489] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1176:1] |
Generators of the group modulo torsion |
j |
-1668296/27 |
j-invariant |
L |
4.4171822222187 |
L(r)(E,1)/r! |
Ω |
0.21855133035866 |
Real period |
R |
0.56142191388807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408bs1 4704c1 28224eu1 9408cf1 |
Quadratic twists by: -4 8 -3 -7 |