Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322b |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-4731041584898146 = -1 · 2 · 78 · 177 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-64019,7031879] |
[a1,a2,a3,a4,a6] |
Generators |
[11284:66319:64] |
Generators of the group modulo torsion |
j |
-208537/34 |
j-invariant |
L |
4.4191831688802 |
L(r)(E,1)/r! |
Ω |
0.41814523420824 |
Real period |
R |
5.284268248624 |
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 |
28322i1 1666b1 |
Quadratic twists by: -7 17 |