Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280cj |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
235566268416000000 = 225 · 35 · 56 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10609665,13305016737] |
[a1,a2,a3,a4,a6] |
Generators |
[1877:256:1] |
Generators of the group modulo torsion |
j |
503835593418244309249/898614000000 |
j-invariant |
L |
5.7451468830698 |
L(r)(E,1)/r! |
Ω |
0.26819722116046 |
Real period |
R |
1.7851126055067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bv2 10320bd2 123840ew2 |
Quadratic twists by: -4 8 -3 |