Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bm |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
2.532788090793E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1974648963,-33766178306719] |
[a1,a2,a3,a4,a6] |
Generators |
[-701295:-449366:27] |
Generators of the group modulo torsion |
j |
54497099771831721530744218729/16209843781074944000000 |
j-invariant |
L |
13.284378894633 |
L(r)(E,1)/r! |
Ω |
0.022648259448153 |
Real period |
R |
3.4913801688646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f4 |
Quadratic twists by: 5 |