Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408cm |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-1106841792 = -1 · 26 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457,-4243] |
[a1,a2,a3,a4,a6] |
Generators |
[604:14847:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
5.8963069564185 |
L(r)(E,1)/r! |
Ω |
0.51315594852059 |
Real period |
R |
3.8300942584916 |
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 |
9408c1 2352j1 28224es1 9408cc1 |
Quadratic twists by: -4 8 -3 -7 |