Atkin-Lehner |
2- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664l |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-23107967657721856 = -1 · 214 · 7 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 3 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-974272,370539264] |
[a1,a2,a3,a4,a6] |
Generators |
[642:3042:1] |
Generators of the group modulo torsion |
j |
-24969214143637912513/5641593666436 |
j-invariant |
L |
6.3987152345516 |
L(r)(E,1)/r! |
Ω |
0.37010478788787 |
Real period |
R |
0.96049603066742 |
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 |
3458f3 110656bb3 |
Quadratic twists by: -4 8 |