Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066n |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
948922864751862 = 2 · 316 · 72 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136941,-19505889] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:169:1] |
Generators of the group modulo torsion |
j |
213378715670932547/712939793202 |
j-invariant |
L |
3.6908701148367 |
L(r)(E,1)/r! |
Ω |
0.24822928507283 |
Real period |
R |
3.717198511642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066bn2 |
Quadratic twists by: -11 |