Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560s |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
55364812800 = 226 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1441,-18241] |
[a1,a2,a3,a4,a6] |
j |
1263214441/211200 |
j-invariant |
L |
1.5672816767302 |
L(r)(E,1)/r! |
Ω |
0.78364083836511 |
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 |
10560bp1 330e1 31680by1 52800s1 |
Quadratic twists by: -4 8 -3 5 |