Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8162j |
Isogeny class |
Conductor |
8162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8233748485424 = 24 · 72 · 113 · 534 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113169,14605631] |
[a1,a2,a3,a4,a6] |
Generators |
[177:310:1] |
Generators of the group modulo torsion |
j |
160289984521621066897/8233748485424 |
j-invariant |
L |
7.7023375191781 |
L(r)(E,1)/r! |
Ω |
0.69532874465277 |
Real period |
R |
2.7693150824019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65296p2 73458r2 57134s2 89782c2 |
Quadratic twists by: -4 -3 -7 -11 |