Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bz |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
337379328 = 218 · 32 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-439297,-112215553] |
[a1,a2,a3,a4,a6] |
Generators |
[170530:-5346429:125] |
Generators of the group modulo torsion |
j |
35765103905346817/1287 |
j-invariant |
L |
7.5181180671986 |
L(r)(E,1)/r! |
Ω |
0.18544277303758 |
Real period |
R |
10.135361362499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456p4 6864r3 82368eq4 |
Quadratic twists by: -4 8 -3 |