Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55120f |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
70553600 = 212 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5736,169136] |
[a1,a2,a3,a4,a6] |
j |
5096439860329/17225 |
j-invariant |
L |
3.4060185564947 |
L(r)(E,1)/r! |
Ω |
1.7030092782521 |
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 |
3445a1 |
Quadratic twists by: -4 |