Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5746f |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217152 |
Modular degree for the optimal curve |
Δ |
-10836780327266192 = -1 · 24 · 1310 · 173 |
Discriminant |
Eigenvalues |
2+ -3 4 -1 -4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-719380,-234720992] |
[a1,a2,a3,a4,a6] |
Generators |
[6843804:480136148:1331] |
Generators of the group modulo torsion |
j |
-298652123601/78608 |
j-invariant |
L |
2.0882359523828 |
L(r)(E,1)/r! |
Ω |
0.081963988433038 |
Real period |
R |
12.738740465813 |
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 |
45968n1 51714z1 5746i1 97682i1 |
Quadratic twists by: -4 -3 13 17 |