Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12120k |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
1717617312000 = 28 · 312 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3236,-31260] |
[a1,a2,a3,a4,a6] |
j |
14643452605264/6709442625 |
j-invariant |
L |
1.3223194664024 |
L(r)(E,1)/r! |
Ω |
0.66115973320121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24240h1 96960bq1 36360h1 60600m1 |
Quadratic twists by: -4 8 -3 5 |