Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560j |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-223556889600 = -1 · 210 · 38 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1235,15037] |
[a1,a2,a3,a4,a6] |
j |
203269830656/218317275 |
j-invariant |
L |
1.3191121262626 |
L(r)(E,1)/r! |
Ω |
0.65955606313128 |
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 |
10560cl1 1320d1 31680y1 52800cc1 |
Quadratic twists by: -4 8 -3 5 |