Atkin-Lehner |
2- 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bj |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
107918820100000000 = 28 · 58 · 72 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1684755,-841122253] |
[a1,a2,a3,a4,a6] |
Generators |
[-751:750:1] |
Generators of the group modulo torsion |
j |
33846495359800002489/6906804486400 |
j-invariant |
L |
9.4679609707735 |
L(r)(E,1)/r! |
Ω |
0.13251672810206 |
Real period |
R |
2.2327277780938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014908 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17290b2 |
Quadratic twists by: 5 |