Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710x |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
37164128400 = 24 · 38 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1103,10887] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:138:1] |
Generators of the group modulo torsion |
j |
203401212841/50979600 |
j-invariant |
L |
6.0034091042913 |
L(r)(E,1)/r! |
Ω |
1.0830268736754 |
Real period |
R |
0.69289706126105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680ej2 3570g2 53550cb2 74970eb2 |
Quadratic twists by: -4 -3 5 -7 |