Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136cr |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
222795235590144 = 221 · 3 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103939992,-407904995436] |
[a1,a2,a3,a4,a6] |
Generators |
[18230:1938048:1] [-4291236:98:729] |
Generators of the group modulo torsion |
j |
257705427598877502217/462336 |
j-invariant |
L |
11.032396200049 |
L(r)(E,1)/r! |
Ω |
0.047282875972931 |
Real period |
R |
14.582970016042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642k3 14448l3 |
Quadratic twists by: -4 -7 |