Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560x |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4014489600 = 214 · 34 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,399] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:60:1] |
Generators of the group modulo torsion |
j |
436334416/245025 |
j-invariant |
L |
4.3964304666902 |
L(r)(E,1)/r! |
Ω |
1.2009855644178 |
Real period |
R |
0.91517138026997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10560bk2 1320i2 31680bn2 52800bi2 |
Quadratic twists by: -4 8 -3 5 |