Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550ct |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-11245500000000 = -1 · 28 · 33 · 59 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,520,161147] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:385:1] |
Generators of the group modulo torsion |
j |
36926037/26656000 |
j-invariant |
L |
8.8718481807594 |
L(r)(E,1)/r! |
Ω |
0.55986584935443 |
Real period |
R |
0.49519944102378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550h1 10710d1 |
Quadratic twists by: -3 5 |