Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314bp |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
128959536955392 = 218 · 37 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17942,750885] |
[a1,a2,a3,a4,a6] |
Generators |
[617:14667:1] [-103:1275:1] |
Generators of the group modulo torsion |
j |
658275956099/132907008 |
j-invariant |
L |
8.9576095819781 |
L(r)(E,1)/r! |
Ω |
0.55485005912893 |
Real period |
R |
0.22422498141114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438c1 28314m1 |
Quadratic twists by: -3 -11 |