Atkin-Lehner |
2- 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888o |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1059160291540992 = -1 · 220 · 32 · 23 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 4 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565496,163874928] |
[a1,a2,a3,a4,a6] |
j |
-4882622455036578169/258584055552 |
j-invariant |
L |
3.7137555463679 |
L(r)(E,1)/r! |
Ω |
0.46421944343379 |
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 |
6486k1 |
Quadratic twists by: -4 |