Atkin-Lehner |
3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56277d |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1.1746605980931E+19 |
Discriminant |
Eigenvalues |
0 3- 0 -4 3 13+ -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-507000,-215635001] |
[a1,a2,a3,a4,a6] |
j |
-4096000000000/3338295363 |
j-invariant |
L |
1.3832987825835 |
L(r)(E,1)/r! |
Ω |
0.086456173745896 |
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 |
18759a1 4329b1 |
Quadratic twists by: -3 13 |