Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456be |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6784487424 = 212 · 34 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-489,-1449] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:48:1] |
Generators of the group modulo torsion |
j |
3163575232/1656369 |
j-invariant |
L |
5.637853391359 |
L(r)(E,1)/r! |
Ω |
1.0757183733339 |
Real period |
R |
1.3102531134348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27456c2 13728c1 82368t2 |
Quadratic twists by: -4 8 -3 |