Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900x |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
286679250000 = 24 · 36 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13333,587588] |
[a1,a2,a3,a4,a6] |
Generators |
[59:99:1] |
Generators of the group modulo torsion |
j |
1048576000000/1146717 |
j-invariant |
L |
7.917928345818 |
L(r)(E,1)/r! |
Ω |
0.97058378886515 |
Real period |
R |
0.45321683006444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700s1 1716a1 |
Quadratic twists by: -3 5 |