Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710bg |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
557461926000 = 24 · 39 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2591978,-1605534919] |
[a1,a2,a3,a4,a6] |
Generators |
[3627:189751:1] |
Generators of the group modulo torsion |
j |
2641739317048851306841/764694000 |
j-invariant |
L |
6.478283689852 |
L(r)(E,1)/r! |
Ω |
0.1189848698835 |
Real period |
R |
6.8057851559143 |
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 |
85680dy2 3570n2 53550u2 74970di2 |
Quadratic twists by: -4 -3 5 -7 |