Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264n |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-144948528 = -1 · 24 · 36 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78,515] |
[a1,a2,a3,a4,a6] |
Generators |
[11:52:1] |
Generators of the group modulo torsion |
j |
4499456/12427 |
j-invariant |
L |
3.8014598604306 |
L(r)(E,1)/r! |
Ω |
1.2877254514821 |
Real period |
R |
2.9520732696905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999379452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52632r1 11696b1 |
Quadratic twists by: -4 -3 |