Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408i |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1457236279296 = 216 · 33 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-790337,-270174015] |
[a1,a2,a3,a4,a6] |
j |
7080974546692/189 |
j-invariant |
L |
2.5619250119428 |
L(r)(E,1)/r! |
Ω |
0.16012031324642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408cv4 1176e3 28224ce4 1344j4 |
Quadratic twists by: -4 8 -3 -7 |