Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cg |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.2325053542952E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14055617,-20092578975] |
[a1,a2,a3,a4,a6] |
j |
242702053576633/2554695936 |
j-invariant |
L |
3.9010651955582 |
L(r)(E,1)/r! |
Ω |
0.078021303911213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32448bf2 8112bg2 97344fn2 2496u2 |
Quadratic twists by: -4 8 -3 13 |