Atkin-Lehner |
2+ 3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
12726d |
Isogeny class |
Conductor |
12726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1871073695736 = -1 · 23 · 39 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5409,168021] |
[a1,a2,a3,a4,a6] |
Generators |
[31:156:1] |
Generators of the group modulo torsion |
j |
-24010007244049/2566630584 |
j-invariant |
L |
3.5588162216825 |
L(r)(E,1)/r! |
Ω |
0.81184056783935 |
Real period |
R |
1.0959098259755 |
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 |
101808y1 4242c1 89082m1 |
Quadratic twists by: -4 -3 -7 |