Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240do |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
207621713510400 = 214 · 3 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33201,-2234001] |
[a1,a2,a3,a4,a6] |
j |
247041745675216/12672223725 |
j-invariant |
L |
2.1288460879779 |
L(r)(E,1)/r! |
Ω |
0.35480765026761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fl2 14280bo2 |
Quadratic twists by: -4 8 |