Atkin-Lehner |
3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
56169g |
Isogeny class |
Conductor |
56169 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
359425431 = 36 · 793 |
Discriminant |
Eigenvalues |
-1 3- -1 -3 -2 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-578,5410] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-50:1] |
Generators of the group modulo torsion |
j |
59319 |
j-invariant |
L |
2.1870161565715 |
L(r)(E,1)/r! |
Ω |
1.7031933114739 |
Real period |
R |
0.64203403742435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6241b1 56169f1 |
Quadratic twists by: -3 -79 |