Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bz |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28489797511938048 = 218 · 3 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192577,31433663] |
[a1,a2,a3,a4,a6] |
Generators |
[-3291:196768:27] |
Generators of the group modulo torsion |
j |
3013001140430737/108679952667 |
j-invariant |
L |
7.5181180671986 |
L(r)(E,1)/r! |
Ω |
0.37088554607515 |
Real period |
R |
5.0676806812493 |
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 |
27456p6 6864r5 82368eq6 |
Quadratic twists by: -4 8 -3 |