Atkin-Lehner |
3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43095d |
Isogeny class |
Conductor |
43095 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2349984 |
Modular degree for the optimal curve |
Δ |
-6.5271543008192E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17042861,-27077932828] |
[a1,a2,a3,a4,a6] |
Generators |
[1165030:1257484806:1] |
Generators of the group modulo torsion |
j |
-51625119824478208/6155080095 |
j-invariant |
L |
2.7389540275323 |
L(r)(E,1)/r! |
Ω |
0.037151882530339 |
Real period |
R |
5.2659397067147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285bg1 43095j1 |
Quadratic twists by: -3 13 |