Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408cg |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-63978501606211584 = -1 · 223 · 33 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,73631,-9456383] |
[a1,a2,a3,a4,a6] |
Generators |
[27903:923264:27] |
Generators of the group modulo torsion |
j |
596183/864 |
j-invariant |
L |
4.6907167693642 |
L(r)(E,1)/r! |
Ω |
0.18522349865076 |
Real period |
R |
6.3311577682278 |
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 |
9408bk1 2352x1 28224gi1 9408co1 |
Quadratic twists by: -4 8 -3 -7 |