Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748n |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1237725833904 = -1 · 24 · 33 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2679,-3312] |
[a1,a2,a3,a4,a6] |
Generators |
[3:69:1] [93:1029:1] |
Generators of the group modulo torsion |
j |
1129201664/657531 |
j-invariant |
L |
9.7998813284875 |
L(r)(E,1)/r! |
Ω |
0.50987179812733 |
Real period |
R |
0.53389680855295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244x1 5964b1 |
Quadratic twists by: -3 -7 |