Atkin-Lehner |
3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16695a |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-912799125 = -1 · 39 · 53 · 7 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 3 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,-1450] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2050:1] |
Generators of the group modulo torsion |
j |
-19683/46375 |
j-invariant |
L |
4.9969842647954 |
L(r)(E,1)/r! |
Ω |
0.71283462701473 |
Real period |
R |
3.5050094898744 |
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 |
16695f1 83475i1 116865g1 |
Quadratic twists by: -3 5 -7 |