Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bk |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-2860322594253696 = -1 · 27 · 36 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35188,398863] |
[a1,a2,a3,a4,a6] |
Generators |
[817:23549:1] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
8.7614830394967 |
L(r)(E,1)/r! |
Ω |
0.27594405361 |
Real period |
R |
1.1339621363818 |
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 |
3146a1 28314n1 |
Quadratic twists by: -3 -11 |