Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150eo |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.7171623991211E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-526730555,-4652838294803] |
[a1,a2,a3,a4,a6] |
Generators |
[19795861710:-762876972883:729000] |
Generators of the group modulo torsion |
j |
420405041843139510639/706796295458 |
j-invariant |
L |
10.611588651489 |
L(r)(E,1)/r! |
Ω |
0.031513923073667 |
Real period |
R |
14.030291497923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150u2 84150y2 |
Quadratic twists by: -3 5 |