Atkin-Lehner |
11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7843b |
Isogeny class |
Conductor |
7843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5592059 = -1 · 11 · 232 · 312 |
Discriminant |
Eigenvalues |
1 0 2 -2 11+ 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,44,-33] |
[a1,a2,a3,a4,a6] |
j |
9300746727/5592059 |
j-invariant |
L |
1.4004711424463 |
L(r)(E,1)/r! |
Ω |
1.4004711424463 |
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 |
125488m2 70587k2 86273b2 |
Quadratic twists by: -4 -3 -11 |