Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560ca |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-1847577600 = -1 · 210 · 38 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,259,1395] |
[a1,a2,a3,a4,a6] |
Generators |
[7:60:1] |
Generators of the group modulo torsion |
j |
1869154304/1804275 |
j-invariant |
L |
5.1801656358958 |
L(r)(E,1)/r! |
Ω |
0.97451332031246 |
Real period |
R |
0.66445546817088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10560f1 2640f1 31680ds1 52800dz1 |
Quadratic twists by: -4 8 -3 5 |