Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368k |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
213522704208 = 24 · 35 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2067,-29232] |
[a1,a2,a3,a4,a6] |
Generators |
[84:630:1] |
Generators of the group modulo torsion |
j |
61071030888448/13345169013 |
j-invariant |
L |
6.0698354956893 |
L(r)(E,1)/r! |
Ω |
0.71903210373703 |
Real period |
R |
3.3766700897735 |
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 |
8184b1 65472cb1 49104w1 |
Quadratic twists by: -4 8 -3 |