Atkin-Lehner |
11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20339b |
Isogeny class |
Conductor |
20339 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
223729 = 112 · 432 |
Discriminant |
Eigenvalues |
-1 1 -3 1 11+ -3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] [5:3:1] |
Generators of the group modulo torsion |
j |
294937/121 |
j-invariant |
L |
4.8607229904948 |
L(r)(E,1)/r! |
Ω |
2.4366511335567 |
Real period |
R |
0.99741873663303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20339a1 |
Quadratic twists by: -43 |