Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560q |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-280633163120640 = -1 · 234 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16319,81695] |
[a1,a2,a3,a4,a6] |
j |
1833318007919/1070530560 |
j-invariant |
L |
1.9918783293694 |
L(r)(E,1)/r! |
Ω |
0.33197972156157 |
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 |
10560bo1 330c1 31680bu1 52800f1 |
Quadratic twists by: -4 8 -3 5 |