Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550cy |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-32791878000000000 = -1 · 210 · 39 · 59 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22570,-8619803] |
[a1,a2,a3,a4,a6] |
j |
33076161/852992 |
j-invariant |
L |
3.5725034610588 |
L(r)(E,1)/r! |
Ω |
0.17862517310353 |
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 |
53550j1 53550p1 |
Quadratic twists by: -3 5 |