Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384cn |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8559464364831744 = 210 · 38 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-389091,93310670] |
[a1,a2,a3,a4,a6] |
Generators |
[419:1960:1] |
Generators of the group modulo torsion |
j |
8726694710767492/11466189189 |
j-invariant |
L |
4.9256572682653 |
L(r)(E,1)/r! |
Ω |
0.4120106582704 |
Real period |
R |
1.4943961974037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999959787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128f4 |
Quadratic twists by: -3 |