Atkin-Lehner |
2+ 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742g |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4073472 |
Modular degree for the optimal curve |
Δ |
-7.6229436873721E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4262683,2484483536] |
[a1,a2,a3,a4,a6] |
Generators |
[-493:16470:1] [2718:183442:1] |
Generators of the group modulo torsion |
j |
10500891013172183/9344926568448 |
j-invariant |
L |
7.2977685344054 |
L(r)(E,1)/r! |
Ω |
0.085922584420887 |
Real period |
R |
0.88473156092528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53742t1 |
Quadratic twists by: 13 |