Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43953z |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
304640 |
Modular degree for the optimal curve |
Δ |
27913350990574413 = 34 · 79 · 135 · 23 |
Discriminant |
Eigenvalues |
0 3- 0 7- -5 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-254963,48811088] |
[a1,a2,a3,a4,a6] |
Generators |
[16:6688:1] |
Generators of the group modulo torsion |
j |
45422866432000/691718859 |
j-invariant |
L |
4.8441073363735 |
L(r)(E,1)/r! |
Ω |
0.37503879271336 |
Real period |
R |
0.32290708524605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43953j1 |
Quadratic twists by: -7 |