Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50337m |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1925752223367 = -1 · 310 · 74 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -6 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,850,65868] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-291:1] |
Generators of the group modulo torsion |
j |
93267830375/2641635423 |
j-invariant |
L |
2.7654081890578 |
L(r)(E,1)/r! |
Ω |
0.62551002701067 |
Real period |
R |
0.55263066730714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779g2 |
Quadratic twists by: -3 |