Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8514h |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-40804264512 = -1 · 26 · 36 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2345,45353] |
[a1,a2,a3,a4,a6] |
j |
-1955469687625/55972928 |
j-invariant |
L |
2.2853241132984 |
L(r)(E,1)/r! |
Ω |
1.1426620566492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68112bz2 946b2 93654k2 |
Quadratic twists by: -4 -3 -11 |