Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665s |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-88778656000125 = -1 · 36 · 53 · 78 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2122,-452294] |
[a1,a2,a3,a4,a6] |
j |
251559/21125 |
j-invariant |
L |
0.57467934020193 |
L(r)(E,1)/r! |
Ω |
0.28733967010112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3185e1 28665bv1 |
Quadratic twists by: -3 -7 |