Atkin-Lehner |
2+ 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9010a |
Isogeny class |
Conductor |
9010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5533266250 = -1 · 2 · 54 · 174 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,415,1391] |
[a1,a2,a3,a4,a6] |
Generators |
[1:42:1] [53:386:1] |
Generators of the group modulo torsion |
j |
7893674555031/5533266250 |
j-invariant |
L |
4.0500256914773 |
L(r)(E,1)/r! |
Ω |
0.85723752974298 |
Real period |
R |
2.3622540725035 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080d3 81090bk3 45050k3 |
Quadratic twists by: -4 -3 5 |