Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bz |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1912622616576 = 212 · 34 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4377,-87975] |
[a1,a2,a3,a4,a6] |
Generators |
[77:160:1] |
Generators of the group modulo torsion |
j |
19248832/3969 |
j-invariant |
L |
4.3930755956833 |
L(r)(E,1)/r! |
Ω |
0.59545960095245 |
Real period |
R |
3.6888107846918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9408cu2 4704be1 28224fy2 1344q2 |
Quadratic twists by: -4 8 -3 -7 |