Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744ct |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-57397652928 = -1 · 26 · 32 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,670,9624] |
[a1,a2,a3,a4,a6] |
Generators |
[10:132:1] |
Generators of the group modulo torsion |
j |
4410944/7623 |
j-invariant |
L |
4.7974501558037 |
L(r)(E,1)/r! |
Ω |
0.76341108982297 |
Real period |
R |
1.5710572651346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744n1 103488bj1 7392m1 |
Quadratic twists by: -4 8 -7 |