Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408x |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2550163488768 = -1 · 214 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1829,-83133] |
[a1,a2,a3,a4,a6] |
j |
-7168/27 |
j-invariant |
L |
3.0059790368065 |
L(r)(E,1)/r! |
Ω |
0.33399767075628 |
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 |
9408br1 1176a1 28224bb1 9408l1 |
Quadratic twists by: -4 8 -3 -7 |