Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420t |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1325918024345250000 = 24 · 34 · 56 · 77 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9071925,10520009802] |
[a1,a2,a3,a4,a6] |
Generators |
[104676:474075:64] |
Generators of the group modulo torsion |
j |
43864571444035846144/704382328125 |
j-invariant |
L |
7.0793267210727 |
L(r)(E,1)/r! |
Ω |
0.24847806608411 |
Real period |
R |
0.79140975152022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060k3 |
Quadratic twists by: -7 |