Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bu |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-50577408 = -1 · 214 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,-335] |
[a1,a2,a3,a4,a6] |
Generators |
[13:48:1] |
Generators of the group modulo torsion |
j |
2000/9 |
j-invariant |
L |
3.8063554491179 |
L(r)(E,1)/r! |
Ω |
1.0109937782733 |
Real period |
R |
0.94124106669057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408y1 2352g1 28224fa1 9408cq1 |
Quadratic twists by: -4 8 -3 -7 |