Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710bg |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
1.2719220716543E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2633153,-1551857839] |
[a1,a2,a3,a4,a6] |
Generators |
[-779:5506:1] |
Generators of the group modulo torsion |
j |
2769646315294225853641/174474906948464640 |
j-invariant |
L |
6.478283689852 |
L(r)(E,1)/r! |
Ω |
0.1189848698835 |
Real period |
R |
2.2685950519714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85680dy4 3570n4 53550u4 74970di4 |
Quadratic twists by: -4 -3 5 -7 |