Atkin-Lehner |
5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
28975b |
Isogeny class |
Conductor |
28975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-90546875 = -1 · 57 · 19 · 61 |
Discriminant |
Eigenvalues |
0 -1 5+ -3 -4 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-133,793] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-13:1] [-7:36:1] |
Generators of the group modulo torsion |
j |
-16777216/5795 |
j-invariant |
L |
5.0793384307389 |
L(r)(E,1)/r! |
Ω |
1.7988247809126 |
Real period |
R |
0.70592456872901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5795b1 |
Quadratic twists by: 5 |