Atkin-Lehner |
2- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48416k |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
13169152 = 29 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-955,11358] |
[a1,a2,a3,a4,a6] |
Generators |
[1:102:1] [82:696:1] |
Generators of the group modulo torsion |
j |
188132517000/25721 |
j-invariant |
L |
8.8873609367802 |
L(r)(E,1)/r! |
Ω |
2.1603479804225 |
Real period |
R |
4.1138562015563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416j2 96832m2 |
Quadratic twists by: -4 8 |