Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
84084z |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.4594620590233E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4935884,-3801228684] |
[a1,a2,a3,a4,a6] |
j |
1287349025427376/141276681117 |
j-invariant |
L |
3.6723393575546 |
L(r)(E,1)/r! |
Ω |
0.10200942809493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84084m2 |
Quadratic twists by: -7 |