Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bs |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.2699827757488E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-378281,1108085250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1046:19486:1] |
Generators of the group modulo torsion |
j |
-50883752216868481/4479411449097585 |
j-invariant |
L |
4.2756369981924 |
L(r)(E,1)/r! |
Ω |
0.1355723867352 |
Real period |
R |
3.9422085531834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015f6 |
Quadratic twists by: -7 |