Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560h |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-457056000 = -1 · 28 · 33 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-1026] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
574992/66125 |
j-invariant |
L |
5.8984666004815 |
L(r)(E,1)/r! |
Ω |
0.78983915674734 |
Real period |
R |
1.2446556471008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8280q1 66240do1 16560c1 82800d1 |
Quadratic twists by: -4 8 -3 5 |