Atkin-Lehner |
5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75205a |
Isogeny class |
Conductor |
75205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1752132491636183605 = -1 · 5 · 1314 · 89 |
Discriminant |
Eigenvalues |
1 0 5+ 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,300535,5792710] |
[a1,a2,a3,a4,a6] |
Generators |
[419073976830918670093248922142:-68857911382406059241504690100985:15623593417209580787409992] |
Generators of the group modulo torsion |
j |
621939235923279/363000170845 |
j-invariant |
L |
7.8309944029948 |
L(r)(E,1)/r! |
Ω |
0.16020730649828 |
Real period |
R |
48.880382399173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5785b4 |
Quadratic twists by: 13 |