Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968f |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5293446529024 = 225 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 2 3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41016897,-101095911359] |
[a1,a2,a3,a4,a6] |
j |
29112011033527546515217/20192896 |
j-invariant |
L |
1.0738196782852 |
L(r)(E,1)/r! |
Ω |
0.059656648793615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968bt2 874f2 |
Quadratic twists by: -4 8 |