Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bz |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
882389265065000 = 23 · 54 · 78 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64001400,-197102025583] |
[a1,a2,a3,a4,a6] |
Generators |
[602949:82965487:27] |
Generators of the group modulo torsion |
j |
246435854569316148523249/7500185000 |
j-invariant |
L |
16.773050555264 |
L(r)(E,1)/r! |
Ω |
0.053376757271364 |
Real period |
R |
8.728856757446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710f2 |
Quadratic twists by: -7 |