Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945g |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-20675822821875 = -1 · 311 · 55 · 133 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5862,-278753] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1012:1] |
Generators of the group modulo torsion |
j |
-30558612127744/28361896875 |
j-invariant |
L |
4.0442228033888 |
L(r)(E,1)/r! |
Ω |
0.26276619042127 |
Real period |
R |
0.7695477863619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3315a1 49725n1 129285o1 |
Quadratic twists by: -3 5 13 |