Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390w |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15411232064250000 = -1 · 24 · 34 · 56 · 113 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139966,-21033004] |
[a1,a2,a3,a4,a6] |
Generators |
[476:4262:1] |
Generators of the group modulo torsion |
j |
-303243541573307037409/15411232064250000 |
j-invariant |
L |
9.2009485810311 |
L(r)(E,1)/r! |
Ω |
0.12304961903155 |
Real period |
R |
2.3366967360012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82170z2 |
Quadratic twists by: -3 |