Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1768d |
Isogeny class |
Conductor |
1768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
35921969408 = 28 · 134 · 173 |
Discriminant |
Eigenvalues |
2- -2 2 2 -2 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1412,-18752] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:34:1] |
Generators of the group modulo torsion |
j |
1217013440848/140320193 |
j-invariant |
L |
2.4449559243797 |
L(r)(E,1)/r! |
Ω |
0.78463316617772 |
Real period |
R |
0.51934161290728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3536d1 14144n1 15912c1 44200g1 |
Quadratic twists by: -4 8 -3 5 |