Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6944b |
Isogeny class |
Conductor |
6944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24109568 = 29 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 6 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83,-170] |
[a1,a2,a3,a4,a6] |
j |
123505992/47089 |
j-invariant |
L |
3.2666849276625 |
L(r)(E,1)/r! |
Ω |
1.6333424638313 |
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 |
6944a2 13888s2 62496bw2 48608e2 |
Quadratic twists by: -4 8 -3 -7 |