Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280cj |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-14741286074449920 = -1 · 229 · 311 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56148,-2810576] |
[a1,a2,a3,a4,a6] |
Generators |
[20370:584704:27] |
Generators of the group modulo torsion |
j |
102437538839/77137920 |
j-invariant |
L |
8.8156725605894 |
L(r)(E,1)/r! |
Ω |
0.22065229543646 |
Real period |
R |
4.994097472538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280ga1 2790u1 29760x1 |
Quadratic twists by: -4 8 -3 |