Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166n |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
14505132488 = 23 · 74 · 112 · 792 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5082,-139748] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:28:1] |
Generators of the group modulo torsion |
j |
14515534601057953/14505132488 |
j-invariant |
L |
5.6315000162596 |
L(r)(E,1)/r! |
Ω |
0.56547902418777 |
Real period |
R |
0.82990110675759 |
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 |
97328v2 109494u2 85162x2 |
Quadratic twists by: -4 -3 -7 |