Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ei |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-797189624000000 = -1 · 29 · 56 · 77 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16855,-1058793] |
[a1,a2,a3,a4,a6] |
Generators |
[447:-10024:1] |
Generators of the group modulo torsion |
j |
37199299511/56000000 |
j-invariant |
L |
8.0735606959604 |
L(r)(E,1)/r! |
Ω |
0.26634549818208 |
Real period |
R |
0.14033500122733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470r2 59290bv2 |
Quadratic twists by: -7 -11 |