Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050a |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
338287167968750 = 2 · 510 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-317042,-68625634] |
[a1,a2,a3,a4,a6] |
Generators |
[1079:28523:1] |
Generators of the group modulo torsion |
j |
225556243796789361/21650378750 |
j-invariant |
L |
3.2417631490449 |
L(r)(E,1)/r! |
Ω |
0.20119759821853 |
Real period |
R |
4.0280838063097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010x3 |
Quadratic twists by: 5 |