Atkin-Lehner |
5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34645k |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34281083550025 = -1 · 52 · 138 · 412 |
Discriminant |
Eigenvalues |
-1 0 5- -2 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8482,-409886] |
[a1,a2,a3,a4,a6] |
Generators |
[244:-3587:1] [5054:356682:1] |
Generators of the group modulo torsion |
j |
-13980103929/7102225 |
j-invariant |
L |
5.6205486911625 |
L(r)(E,1)/r! |
Ω |
0.24290778778491 |
Real period |
R |
5.784652627255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665a2 |
Quadratic twists by: 13 |