Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784cu |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-1050804424014299136 = -1 · 219 · 33 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,254120,-1042924] |
[a1,a2,a3,a4,a6] |
j |
41781923/24192 |
j-invariant |
L |
3.9516747223481 |
L(r)(E,1)/r! |
Ω |
0.16465311353121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098g1 56784dd1 |
Quadratic twists by: -4 13 |