Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17888a |
Isogeny class |
Conductor |
17888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-48369152 = -1 · 29 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 3 -5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-332] |
[a1,a2,a3,a4,a6] |
Generators |
[12:34:1] |
Generators of the group modulo torsion |
j |
-125000/94471 |
j-invariant |
L |
3.8243959904825 |
L(r)(E,1)/r! |
Ω |
0.90539767941081 |
Real period |
R |
2.1119978974163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17888b1 35776j1 |
Quadratic twists by: -4 8 |