Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984v |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1646229467952 = -1 · 24 · 37 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2166,-48013] |
[a1,a2,a3,a4,a6] |
Generators |
[32053:337896:343] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
7.8278171132995 |
L(r)(E,1)/r! |
Ω |
0.44656617817663 |
Real period |
R |
4.3822268097042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25992bc1 17328f1 144b1 |
Quadratic twists by: -4 -3 -19 |