Atkin-Lehner |
3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779h |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-61838043617007 = -1 · 38 · 74 · 174 · 47 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5452,-409297] |
[a1,a2,a3,a4,a6] |
Generators |
[4661:315851:1] |
Generators of the group modulo torsion |
j |
-17922402738055873/61838043617007 |
j-invariant |
L |
4.5451807890503 |
L(r)(E,1)/r! |
Ω |
0.25521513185951 |
Real period |
R |
4.4523033919794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50337j1 117453h1 |
Quadratic twists by: -3 -7 |