Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cp |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.7427373509263E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9703181,-11358403089] |
[a1,a2,a3,a4,a6] |
Generators |
[32934:1070751:8] |
Generators of the group modulo torsion |
j |
4185743240664514801/113629394531250 |
j-invariant |
L |
8.9500188099183 |
L(r)(E,1)/r! |
Ω |
0.08568225390538 |
Real period |
R |
6.5284950881664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630r3 |
Quadratic twists by: 17 |