Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12264a |
Isogeny class |
Conductor |
12264 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-2581017600538561968 = -1 · 24 · 37 · 712 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2862063,1864309446] |
[a1,a2,a3,a4,a6] |
j |
-162047169290647208704000/161313600033660123 |
j-invariant |
L |
3.5742488848755 |
L(r)(E,1)/r! |
Ω |
0.25530349177682 |
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 |
24528b1 98112a1 36792h1 85848e1 |
Quadratic twists by: -4 8 -3 -7 |