Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560q |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
168570024099840000 = 222 · 312 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-685121,-217605345] |
[a1,a2,a3,a4,a6] |
j |
135670761487282321/643043610000 |
j-invariant |
L |
1.9918783293694 |
L(r)(E,1)/r! |
Ω |
0.16598986078079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10560bo4 330c3 31680bu3 52800f3 |
Quadratic twists by: -4 8 -3 5 |