Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390ba |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7816919374811250 = -1 · 2 · 32 · 54 · 114 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,42634,2575350] |
[a1,a2,a3,a4,a6] |
Generators |
[3782:88775:8] |
Generators of the group modulo torsion |
j |
8570207124269080991/7816919374811250 |
j-invariant |
L |
7.8758714371797 |
L(r)(E,1)/r! |
Ω |
0.27180509180432 |
Real period |
R |
7.2440433187781 |
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 |
82170be3 |
Quadratic twists by: -3 |