Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bh |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5418895933440 = 217 · 32 · 5 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1351776,-604479744] |
[a1,a2,a3,a4,a6] |
Generators |
[-28763210:53222:42875] |
Generators of the group modulo torsion |
j |
66692696957462376289/1322972640 |
j-invariant |
L |
5.1809481975357 |
L(r)(E,1)/r! |
Ω |
0.14001460693561 |
Real period |
R |
9.2507280328038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bj4 |
Quadratic twists by: -4 |