Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864v |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
251277312 = 212 · 3 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-940] |
[a1,a2,a3,a4,a6] |
j |
244140625/61347 |
j-invariant |
L |
2.5596577988254 |
L(r)(E,1)/r! |
Ω |
1.2798288994127 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
429a2 27456bp2 20592bq2 75504cg2 |
Quadratic twists by: -4 8 -3 -11 |