Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314ba |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17698246051944744 = 23 · 38 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5439033,-4881005915] |
[a1,a2,a3,a4,a6] |
Generators |
[-1347:716:1] [38453:-7545364:1] |
Generators of the group modulo torsion |
j |
13778603383488553/13703976 |
j-invariant |
L |
5.7745131094889 |
L(r)(E,1)/r! |
Ω |
0.098859669312156 |
Real period |
R |
29.20560603564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438v4 2574t4 |
Quadratic twists by: -3 -11 |