Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560r |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
674657280 = 210 · 32 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221,-285] |
[a1,a2,a3,a4,a6] |
j |
1171019776/658845 |
j-invariant |
L |
2.6641283082373 |
L(r)(E,1)/r! |
Ω |
1.3320641541186 |
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 |
10560bq1 1320j1 31680bx1 52800u1 |
Quadratic twists by: -4 8 -3 5 |