Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6080r |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4864000000 = -1 · 214 · 56 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,239,-2961] |
[a1,a2,a3,a4,a6] |
Generators |
[10:23:1] |
Generators of the group modulo torsion |
j |
91765424/296875 |
j-invariant |
L |
2.1975876027404 |
L(r)(E,1)/r! |
Ω |
0.69917765436742 |
Real period |
R |
3.1431033143196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6080b2 1520a2 54720eu2 30400bu2 |
Quadratic twists by: -4 8 -3 5 |