Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ga |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
120202243080192 = 226 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32556,-2198576] |
[a1,a2,a3,a4,a6] |
j |
19968681097/628992 |
j-invariant |
L |
1.4244245463695 |
L(r)(E,1)/r! |
Ω |
0.35610613643572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416bq1 13104ck1 17472cw1 |
Quadratic twists by: -4 8 -3 |