Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6726j |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-9.4021617761931E+18 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,469762,-80001060] |
[a1,a2,a3,a4,a6] |
Generators |
[2130:101820:1] |
Generators of the group modulo torsion |
j |
11464557664181387609375/9402161776193051928 |
j-invariant |
L |
6.7848842647596 |
L(r)(E,1)/r! |
Ω |
0.12760163957699 |
Real period |
R |
0.73850542978608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53808h2 20178e2 127794d2 |
Quadratic twists by: -4 -3 -19 |