Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5742t |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
283076719480697472 = 27 · 316 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-238820,36973959] |
[a1,a2,a3,a4,a6] |
Generators |
[557:8469:1] |
Generators of the group modulo torsion |
j |
2066362734323877625/388308257175168 |
j-invariant |
L |
5.7833670781526 |
L(r)(E,1)/r! |
Ω |
0.29314447767143 |
Real period |
R |
1.4091947142272 |
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 |
45936br2 1914d2 63162z2 |
Quadratic twists by: -4 -3 -11 |