Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662bk |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
915280394938307552 = 25 · 73 · 118 · 733 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1148958,-471884060] |
[a1,a2,a3,a4,a6] |
Generators |
[-586:804:1] |
Generators of the group modulo torsion |
j |
782518681866625/4269850592 |
j-invariant |
L |
7.6313600698191 |
L(r)(E,1)/r! |
Ω |
0.14587007053147 |
Real period |
R |
1.1625810368001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662e2 |
Quadratic twists by: -11 |