Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bu |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
Δ |
1.5427898128059E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-488599680,-4113962955900] |
[a1,a2,a3,a4,a6] |
Generators |
[-13710:89100:1] |
Generators of the group modulo torsion |
j |
521902963282042184836/6241849278890625 |
j-invariant |
L |
7.5432313901455 |
L(r)(E,1)/r! |
Ω |
0.032134777025663 |
Real period |
R |
2.794491886786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001149 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34680l2 4080d2 |
Quadratic twists by: -4 17 |