Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840a |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
190808677416960 = 220 · 39 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185868,-30835728] |
[a1,a2,a3,a4,a6] |
Generators |
[3592:213652:1] |
Generators of the group modulo torsion |
j |
137627865747/36980 |
j-invariant |
L |
6.9535289686032 |
L(r)(E,1)/r! |
Ω |
0.22993516821642 |
Real period |
R |
7.5603146473857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dt2 3870c2 123840p2 |
Quadratic twists by: -4 8 -3 |