Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424g |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12690641392128 = 29 · 36 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5832,-5832] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:306:1] |
Generators of the group modulo torsion |
j |
42852953779784/24786408969 |
j-invariant |
L |
6.1334047015823 |
L(r)(E,1)/r! |
Ω |
0.59830941678182 |
Real period |
R |
0.85426878489459 |
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 |
11424e2 22848by2 34272be2 79968j2 |
Quadratic twists by: -4 8 -3 -7 |