Atkin-Lehner |
3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63897j |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-50447128779 = -1 · 38 · 194 · 59 |
Discriminant |
Eigenvalues |
-2 3- -1 1 -2 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2286,-44206] |
[a1,a2,a3,a4,a6] |
Generators |
[63:256:1] |
Generators of the group modulo torsion |
j |
-10142101504/387099 |
j-invariant |
L |
4.0461955241765 |
L(r)(E,1)/r! |
Ω |
0.34443978288961 |
Real period |
R |
0.48946576018039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63897f1 |
Quadratic twists by: -19 |