Atkin-Lehner |
3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443n |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3385432745541 = 33 · 7 · 112 · 236 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-85169,9538139] |
[a1,a2,a3,a4,a6] |
Generators |
[20195:18188:125] |
Generators of the group modulo torsion |
j |
564661380021747712/27978783021 |
j-invariant |
L |
7.2388686745738 |
L(r)(E,1)/r! |
Ω |
0.74813969950021 |
Real period |
R |
1.6126374703338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443p2 |
Quadratic twists by: -11 |