Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992d |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-776965230627775488 = -1 · 210 · 39 · 135 · 473 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 5 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-415011,111301486] |
[a1,a2,a3,a4,a6] |
Generators |
[239:-5076:1] |
Generators of the group modulo torsion |
j |
-10589490159355012/1040816334753 |
j-invariant |
L |
4.5319591821206 |
L(r)(E,1)/r! |
Ω |
0.27676508585661 |
Real period |
R |
0.6822812639243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984f1 14664f1 |
Quadratic twists by: -4 -3 |