Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368u |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
77780736 = 28 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132,360] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] |
Generators of the group modulo torsion |
j |
1001132368/303831 |
j-invariant |
L |
7.1710236156025 |
L(r)(E,1)/r! |
Ω |
1.7911118791108 |
Real period |
R |
2.0018357589037 |
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 |
4092d2 65472bv2 49104bp2 |
Quadratic twists by: -4 8 -3 |