Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540bm |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-21594144000 = -1 · 28 · 3 · 53 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1460,-23100] |
[a1,a2,a3,a4,a6] |
Generators |
[60:330:1] |
Generators of the group modulo torsion |
j |
-7960732624/499125 |
j-invariant |
L |
8.505442142217 |
L(r)(E,1)/r! |
Ω |
0.38475477018421 |
Real period |
R |
0.81874585902407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540y2 |
Quadratic twists by: 13 |