Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280i |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
760872960 = 217 · 33 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-990721,379885825] |
[a1,a2,a3,a4,a6] |
j |
820480625548035842/5805 |
j-invariant |
L |
1.5694305388994 |
L(r)(E,1)/r! |
Ω |
0.78471526951076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280ct4 5160m4 123840cx4 |
Quadratic twists by: -4 8 -3 |