Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bq |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.716254E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7549068,-926549008] |
[a1,a2,a3,a4,a6] |
Generators |
[-5044288345424:-508077830078125:9208180736] |
Generators of the group modulo torsion |
j |
497927680189263938/284271240234375 |
j-invariant |
L |
6.6405090939826 |
L(r)(E,1)/r! |
Ω |
0.098600992859541 |
Real period |
R |
16.836821064055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ee3 8280k3 22080m3 |
Quadratic twists by: -4 8 -3 |