Atkin-Lehner |
3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43407j |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1373558216121 = 310 · 72 · 132 · 532 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2984,-26742] |
[a1,a2,a3,a4,a6] |
Generators |
[72:321:1] |
Generators of the group modulo torsion |
j |
4029546653497/1884167649 |
j-invariant |
L |
4.4779599845234 |
L(r)(E,1)/r! |
Ω |
0.67588196459277 |
Real period |
R |
3.312679002479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14469c2 |
Quadratic twists by: -3 |