Atkin-Lehner |
2- 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810di |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18987551386650 = 2 · 310 · 52 · 7 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185288,-30651519] |
[a1,a2,a3,a4,a6] |
Generators |
[-1986:1203:8] |
Generators of the group modulo torsion |
j |
965019006588684601/26046023850 |
j-invariant |
L |
9.2592652333381 |
L(r)(E,1)/r! |
Ω |
0.23011165593712 |
Real period |
R |
5.029767608209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270m4 |
Quadratic twists by: -3 |