Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562o |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
5591100150828 = 22 · 311 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 5 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13167,-567023] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:139:1] |
Generators of the group modulo torsion |
j |
43890625/972 |
j-invariant |
L |
5.3956364449518 |
L(r)(E,1)/r! |
Ω |
0.44628432809755 |
Real period |
R |
1.0075110016367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854n1 50562ba1 |
Quadratic twists by: -3 53 |