Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384cm |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-2.779689958448E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4218621,-80145772562] |
[a1,a2,a3,a4,a6] |
Generators |
[15011:1834560:1] |
Generators of the group modulo torsion |
j |
11122636847607806972/3723650171532083247 |
j-invariant |
L |
9.2125617296502 |
L(r)(E,1)/r! |
Ω |
0.037842532573301 |
Real period |
R |
2.535881672203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128r3 |
Quadratic twists by: -3 |