Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bj |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1942981705728 = -1 · 218 · 32 · 77 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3071,15455] |
[a1,a2,a3,a4,a6] |
Generators |
[2:147:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
4.4704570196116 |
L(r)(E,1)/r! |
Ω |
0.51073350208569 |
Real period |
R |
1.0941266338892 |
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 |
9408cd1 147a1 28224bz1 1344a1 |
Quadratic twists by: -4 8 -3 -7 |