Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20090g |
Isogeny class |
Conductor |
20090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8311198897225000000 = -1 · 26 · 58 · 76 · 414 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1055788,440253167] |
[a1,a2,a3,a4,a6] |
Generators |
[213:14893:1] |
Generators of the group modulo torsion |
j |
-1106280483969259521/70644025000000 |
j-invariant |
L |
6.9200165707945 |
L(r)(E,1)/r! |
Ω |
0.22919247457579 |
Real period |
R |
2.5160863096991 |
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 |
100450e3 410b4 |
Quadratic twists by: 5 -7 |