Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200eo |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-1.154413568E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800833,320909537] |
[a1,a2,a3,a4,a6] |
Generators |
[613:7744:1] |
Generators of the group modulo torsion |
j |
-22187592025/4509428 |
j-invariant |
L |
5.809598759264 |
L(r)(E,1)/r! |
Ω |
0.21697890090198 |
Real period |
R |
1.3387473978236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999965507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200bn2 30800ba2 123200hq1 |
Quadratic twists by: -4 8 5 |