Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bv |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
45158400 |
Modular degree for the optimal curve |
Δ |
-5.237931019403E+28 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,624460461,9228922519570] |
[a1,a2,a3,a4,a6] |
Generators |
[-4670190841:17398885050:389017] |
Generators of the group modulo torsion |
j |
9018848088673607981072303/17541725003894778494976 |
j-invariant |
L |
7.4111591217057 |
L(r)(E,1)/r! |
Ω |
0.02449018219984 |
Real period |
R |
12.609064898604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6678e1 17808ba1 |
Quadratic twists by: -4 -3 |