Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450f |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3408750000 = -1 · 24 · 33 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-942,11716] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:158:1] [-1:113:1] |
Generators of the group modulo torsion |
j |
-219256227/8080 |
j-invariant |
L |
6.5759315989408 |
L(r)(E,1)/r! |
Ω |
1.4007207847716 |
Real period |
R |
0.29341731014637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45450bk1 9090m1 |
Quadratic twists by: -3 5 |