Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575a |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1706966015625 = 32 · 58 · 134 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3400,41875] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:325:1] |
Generators of the group modulo torsion |
j |
278317173889/109245825 |
j-invariant |
L |
3.5294858642572 |
L(r)(E,1)/r! |
Ω |
0.76410231135811 |
Real period |
R |
2.3095636616934 |
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 |
49725j1 3315e1 |
Quadratic twists by: -3 5 |