Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bl |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[-3:208:1] |
Generators of the group modulo torsion |
j |
15927506500/552123 |
j-invariant |
L |
3.7927729440952 |
L(r)(E,1)/r! |
Ω |
1.1503922284602 |
Real period |
R |
0.8242347371322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456bg2 6864i2 82368ew2 |
Quadratic twists by: -4 8 -3 |