Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598bh |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-2238895945897728 = -1 · 28 · 3 · 132 · 297 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56785,5679401] |
[a1,a2,a3,a4,a6] |
Generators |
[244:-2645:1] |
Generators of the group modulo torsion |
j |
-34043726521/3763968 |
j-invariant |
L |
5.3919060621385 |
L(r)(E,1)/r! |
Ω |
0.44940079152842 |
Real period |
R |
0.74987435534668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262a1 |
Quadratic twists by: 29 |