Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
43602r |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
7436991613648896 = 214 · 37 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-323892,70692981] |
[a1,a2,a3,a4,a6] |
Generators |
[213:3273:1] |
Generators of the group modulo torsion |
j |
778510269523657/1540767744 |
j-invariant |
L |
8.5737728137441 |
L(r)(E,1)/r! |
Ω |
0.41829406797087 |
Real period |
R |
1.464071309473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258b1 |
Quadratic twists by: 13 |