Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bt |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3888E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8507408,9546375188] |
[a1,a2,a3,a4,a6] |
Generators |
[43446:137600:27] |
Generators of the group modulo torsion |
j |
1063985165884855369/217000000000 |
j-invariant |
L |
6.9027353783236 |
L(r)(E,1)/r! |
Ω |
0.2167425103028 |
Real period |
R |
3.9809538086245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850u3 17360q3 |
Quadratic twists by: -4 5 |