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 |
Δ |
-4177151140864 = -1 · 210 · 132 · 176 |
Discriminant |
Eigenvalues |
2- -2 2 2 -2 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1968,-91760] |
[a1,a2,a3,a4,a6] |
Generators |
[48:340:1] |
Generators of the group modulo torsion |
j |
822769797308/4079249161 |
j-invariant |
L |
2.4449559243797 |
L(r)(E,1)/r! |
Ω |
0.39231658308886 |
Real period |
R |
1.0386832258146 |
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 |
3536d2 14144n2 15912c2 44200g2 |
Quadratic twists by: -4 8 -3 5 |