Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560by |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2534400 = -1 · 210 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-75] |
[a1,a2,a3,a4,a6] |
j |
-16384/2475 |
j-invariant |
L |
2.2855126151275 |
L(r)(E,1)/r! |
Ω |
1.1427563075637 |
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 |
10560ba1 2640s1 31680cj1 52800gt1 |
Quadratic twists by: -4 8 -3 5 |