Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408dc |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-43352064 = -1 · 215 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,-2017] |
[a1,a2,a3,a4,a6] |
j |
-1668296/27 |
j-invariant |
L |
3.4693948129879 |
L(r)(E,1)/r! |
Ω |
0.57823246883132 |
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 |
9408cf1 4704g1 28224gg1 9408bs1 |
Quadratic twists by: -4 8 -3 -7 |