Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bg |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
36183932928 = 216 · 33 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2113,-36961] |
[a1,a2,a3,a4,a6] |
j |
15927506500/552123 |
j-invariant |
L |
4.2338219273921 |
L(r)(E,1)/r! |
Ω |
0.7056369878987 |
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 |
27456bl2 3432f2 82368bc2 |
Quadratic twists by: -4 8 -3 |