Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bx |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17192021603328 = 210 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30707093,65484467307] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:271524:1] |
Generators of the group modulo torsion |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
6.2224916382907 |
L(r)(E,1)/r! |
Ω |
0.33539231454242 |
Real period |
R |
3.0921458087971 |
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 |
27456m3 6864p3 82368em3 |
Quadratic twists by: -4 8 -3 |