Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52371d |
Isogeny class |
Conductor |
52371 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.2887720148803E+19 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27704358,-56119192065] |
[a1,a2,a3,a4,a6] |
j |
21790813729717297/304746849 |
j-invariant |
L |
2.1057794049282 |
L(r)(E,1)/r! |
Ω |
0.065805606431033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17457c4 2277b4 |
Quadratic twists by: -3 -23 |