Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575i |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-443154638671875 = -1 · 35 · 511 · 133 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16283,1285094] |
[a1,a2,a3,a4,a6] |
Generators |
[538:12187:1] |
Generators of the group modulo torsion |
j |
-30558612127744/28361896875 |
j-invariant |
L |
4.6033912933787 |
L(r)(E,1)/r! |
Ω |
0.48243932345421 |
Real period |
R |
0.159031788026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49725n1 3315a1 |
Quadratic twists by: -3 5 |