Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408co |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-61873298866176 = -1 · 233 · 3 · 74 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45537,3744159] |
[a1,a2,a3,a4,a6] |
Generators |
[3405:4096:27] |
Generators of the group modulo torsion |
j |
-16591834777/98304 |
j-invariant |
L |
4.5739547956667 |
L(r)(E,1)/r! |
Ω |
0.62607656238879 |
Real period |
R |
1.8264358827835 |
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 |
9408d2 2352k2 28224ex2 9408cg2 |
Quadratic twists by: -4 8 -3 -7 |