Atkin-Lehner |
3+ 11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43263a |
Isogeny class |
Conductor |
43263 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
985344 |
Modular degree for the optimal curve |
Δ |
-322151580766757907 = -1 · 39 · 11 · 19 · 238 |
Discriminant |
Eigenvalues |
2 3+ 2 -4 11+ 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-168939,38210339] |
[a1,a2,a3,a4,a6] |
j |
-27090821644333056/16366995923729 |
j-invariant |
L |
4.5217910246414 |
L(r)(E,1)/r! |
Ω |
0.28261193905122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43263b1 |
Quadratic twists by: -3 |