Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562q |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6746688 |
Modular degree for the optimal curve |
Δ |
-3.1529732124492E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -1 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8178930,28478544084] |
[a1,a2,a3,a4,a6] |
Generators |
[3249:188622:1] |
Generators of the group modulo torsion |
j |
-25153757/131072 |
j-invariant |
L |
2.5089577107339 |
L(r)(E,1)/r! |
Ω |
0.083759492726888 |
Real period |
R |
7.4885772019588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618j1 50562bh1 |
Quadratic twists by: -3 53 |