Atkin-Lehner |
2+ 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6110a |
Isogeny class |
Conductor |
6110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-826072000000 = -1 · 29 · 56 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2021,26406] |
[a1,a2,a3,a4,a6] |
Generators |
[78:773:1] |
Generators of the group modulo torsion |
j |
913548316680791/826072000000 |
j-invariant |
L |
1.9761204920042 |
L(r)(E,1)/r! |
Ω |
0.58240301429142 |
Real period |
R |
0.56550774507022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48880l2 54990br2 30550o2 79430o2 |
Quadratic twists by: -4 -3 5 13 |