Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280g |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8256000000 = 212 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-521,1545] |
[a1,a2,a3,a4,a6] |
Generators |
[1:32:1] |
Generators of the group modulo torsion |
j |
3825694144/2015625 |
j-invariant |
L |
4.85840828331 |
L(r)(E,1)/r! |
Ω |
1.1494234767673 |
Real period |
R |
2.1134109323113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bi2 20640l1 123840cu2 |
Quadratic twists by: -4 8 -3 |