Atkin-Lehner |
3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108927w |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27462200190944337 = 39 · 77 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5782181,-5350172628] |
[a1,a2,a3,a4,a6] |
Generators |
[-1387:729:1] [15711663:-1676212221:1331] |
Generators of the group modulo torsion |
j |
249277408000169977/320198697 |
j-invariant |
L |
6.4068560076538 |
L(r)(E,1)/r! |
Ω |
0.097359127546166 |
Real period |
R |
32.903211902336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36309g4 15561d4 |
Quadratic twists by: -3 -7 |