Atkin-Lehner |
3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775u |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3147544923046875 = 38 · 58 · 134 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11610792,-15225027759] |
[a1,a2,a3,a4,a6] |
Generators |
[6422801901168:193399747312953:1466003456] |
Generators of the group modulo torsion |
j |
15197134735944161209/276327675 |
j-invariant |
L |
7.1082208478684 |
L(r)(E,1)/r! |
Ω |
0.08178696494645 |
Real period |
R |
21.727853528117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41925k4 25155m4 |
Quadratic twists by: -3 5 |