Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825f |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.5972012080231E+22 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60766855,-182538867728] |
[a1,a2,a3,a4,a6] |
Generators |
[586363078:74161700361:29791] |
Generators of the group modulo torsion |
j |
-329036324603513409/476962890625 |
j-invariant |
L |
2.8072129207477 |
L(r)(E,1)/r! |
Ω |
0.027034300173904 |
Real period |
R |
12.97986679011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14365a2 5525c2 |
Quadratic twists by: 5 13 |