Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160cc |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-1056044563200 = -1 · 28 · 37 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2205,62775] |
[a1,a2,a3,a4,a6] |
Generators |
[75:570:1] |
Generators of the group modulo torsion |
j |
-4633471246336/4125174075 |
j-invariant |
L |
7.6427046269868 |
L(r)(E,1)/r! |
Ω |
0.79912862848781 |
Real period |
R |
0.11385473583291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12540g1 |
Quadratic twists by: -4 |