Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bo |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[5403:392700:1] |
Generators of the group modulo torsion |
j |
135670761487282321/643043610000 |
j-invariant |
L |
3.2944706597053 |
L(r)(E,1)/r! |
Ω |
0.32378010721904 |
Real period |
R |
5.0875124602337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10560q3 2640v4 31680dh3 52800gu3 |
Quadratic twists by: -4 8 -3 5 |