Atkin-Lehner |
2- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21080g |
Isogeny class |
Conductor |
21080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
67456000 = 210 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 0 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,-1444] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:4:1] |
Generators of the group modulo torsion |
j |
1819026436/65875 |
j-invariant |
L |
2.7155568386615 |
L(r)(E,1)/r! |
Ω |
1.1958159906651 |
Real period |
R |
1.1354409289807 |
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 |
42160g1 105400b1 |
Quadratic twists by: -4 5 |