Atkin-Lehner |
2- 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450x |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-481780446875000 = -1 · 23 · 58 · 7 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4755,1064747] |
[a1,a2,a3,a4,a6] |
Generators |
[-738:7115:8] [-27:1096:1] |
Generators of the group modulo torsion |
j |
-760798453689/30833948600 |
j-invariant |
L |
14.678492058609 |
L(r)(E,1)/r! |
Ω |
0.43634160641997 |
Real period |
R |
2.8033257740461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290e2 |
Quadratic twists by: 5 |