Atkin-Lehner |
2+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14432d |
Isogeny class |
Conductor |
14432 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
205056 |
Modular degree for the optimal curve |
Δ |
-2.7291634177097E+19 |
Discriminant |
Eigenvalues |
2+ 1 1 0 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1282765,-613519973] |
[a1,a2,a3,a4,a6] |
j |
-56990885911817038336/6662996625267851 |
j-invariant |
L |
2.5368339271467 |
L(r)(E,1)/r! |
Ω |
0.070467609087408 |
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 |
14432b1 28864n1 129888w1 |
Quadratic twists by: -4 8 -3 |