Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cf |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3260145136803840000 = 216 · 316 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-605388,-159132688] |
[a1,a2,a3,a4,a6] |
Generators |
[1067618336:-192652298559:32768] |
Generators of the group modulo torsion |
j |
513591322675396/68238500625 |
j-invariant |
L |
8.0186899026173 |
L(r)(E,1)/r! |
Ω |
0.17265846844647 |
Real period |
R |
11.610623539907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877563 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123840ez2 15480n2 41280v2 |
Quadratic twists by: -4 8 -3 |