Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150ca |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
174058777804800 = 216 · 3 · 52 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101548,-12481459] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:105:1] |
Generators of the group modulo torsion |
j |
4632315104431196905/6962351112192 |
j-invariant |
L |
8.3889225797785 |
L(r)(E,1)/r! |
Ω |
0.26746742135565 |
Real period |
R |
1.960267379776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150bo1 |
Quadratic twists by: 5 |