Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550q |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
191179625000000 = 26 · 59 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23713,-1247969] |
[a1,a2,a3,a4,a6] |
j |
94376601570889/12235496000 |
j-invariant |
L |
4.6561799314832 |
L(r)(E,1)/r! |
Ω |
0.38801499429026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400by3 40950q3 910c3 31850cb3 |
Quadratic twists by: -4 -3 5 -7 |