Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44200a |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
55250000 = 24 · 56 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1850,30625] |
[a1,a2,a3,a4,a6] |
Generators |
[0:175:1] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
5.9781487896775 |
L(r)(E,1)/r! |
Ω |
1.8948683638149 |
Real period |
R |
1.5774575437109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400a1 1768e1 |
Quadratic twists by: -4 5 |