Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472bh |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3368692982713024512 = -1 · 217 · 324 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-693057,-239219937] |
[a1,a2,a3,a4,a6] |
Generators |
[589305:39784284:125] |
Generators of the group modulo torsion |
j |
-280880296871140514/25701087819771 |
j-invariant |
L |
7.3288146113922 |
L(r)(E,1)/r! |
Ω |
0.082303846987422 |
Real period |
R |
7.4204860805921 |
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 |
17472br6 2184j6 52416cp5 122304cc5 |
Quadratic twists by: -4 8 -3 -7 |