Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166w |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-991872 = -1 · 27 · 33 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -3 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
17779581/36736 |
j-invariant |
L |
5.9963254209592 |
L(r)(E,1)/r! |
Ω |
1.446749934926 |
Real period |
R |
0.29604906024195 |
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 |
41328bc1 5166c1 129150l1 36162br1 |
Quadratic twists by: -4 -3 5 -7 |