Atkin-Lehner |
2- 3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ec |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
24293159430516900 = 22 · 310 · 52 · 76 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-541382,153273489] |
[a1,a2,a3,a4,a6] |
Generators |
[149:8637:1] |
Generators of the group modulo torsion |
j |
24071705871623664409/33323949836100 |
j-invariant |
L |
10.75075020259 |
L(r)(E,1)/r! |
Ω |
0.37789173818543 |
Real period |
R |
3.5561607717663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270b2 |
Quadratic twists by: -3 |