Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104o |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12912183291273728 = 29 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142336,-19885512] |
[a1,a2,a3,a4,a6] |
Generators |
[53243387213766999361232295:-1520816987852731979187085286:54198957025061798299875] |
Generators of the group modulo torsion |
j |
351596839112/14235529 |
j-invariant |
L |
9.7549603765507 |
L(r)(E,1)/r! |
Ω |
0.24640741402629 |
Real period |
R |
39.58874539185 |
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 |
27104z2 54208cj2 2464g2 |
Quadratic twists by: -4 8 -11 |