Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874bf |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
54096 |
Modular degree for the optimal curve |
Δ |
-11159178946944 = -1 · 27 · 3 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,636,160656] |
[a1,a2,a3,a4,a6] |
Generators |
[20:416:1] |
Generators of the group modulo torsion |
j |
4934783/1935744 |
j-invariant |
L |
10.724643731965 |
L(r)(E,1)/r! |
Ω |
0.55791362441108 |
Real period |
R |
1.3730548015623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622n1 20874bb1 |
Quadratic twists by: -3 -7 |