Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960em |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29927084359680 = -1 · 215 · 37 · 5 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2292,-259792] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1001:1] |
Generators of the group modulo torsion |
j |
55742968/1252815 |
j-invariant |
L |
6.4046298810084 |
L(r)(E,1)/r! |
Ω |
0.32087280245601 |
Real period |
R |
4.9900068126849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960en3 24480p2 16320cg4 |
Quadratic twists by: -4 8 -3 |