Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50592b |
Isogeny class |
Conductor |
50592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-221289408 = -1 · 26 · 38 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,122,-536] |
[a1,a2,a3,a4,a6] |
Generators |
[2268:7792:343] |
Generators of the group modulo torsion |
j |
3112136000/3457647 |
j-invariant |
L |
5.954478110534 |
L(r)(E,1)/r! |
Ω |
0.95560253335304 |
Real period |
R |
6.2311242412147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50592e1 101184bb1 |
Quadratic twists by: -4 8 |