Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408cp |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1106841792 = -1 · 26 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -6 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,229,-813] |
[a1,a2,a3,a4,a6] |
Generators |
[7014:38865:343] |
Generators of the group modulo torsion |
j |
3584/3 |
j-invariant |
L |
6.2499981170404 |
L(r)(E,1)/r! |
Ω |
0.85581735752636 |
Real period |
R |
7.3029578823983 |
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 |
9408bt1 4704q1 28224ey1 9408ci1 |
Quadratic twists by: -4 8 -3 -7 |