Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592bc |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
481452845831553024 = 218 · 312 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199731,8120050] |
[a1,a2,a3,a4,a6] |
Generators |
[-297:6422:1] |
Generators of the group modulo torsion |
j |
295102348042033/161237583936 |
j-invariant |
L |
3.2261500827137 |
L(r)(E,1)/r! |
Ω |
0.25694612498548 |
Real period |
R |
3.1389363070722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2574m2 82368fc2 6864y2 |
Quadratic twists by: -4 8 -3 |