Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650dj |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-4201434316800 = -1 · 224 · 33 · 52 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33233,2331177] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-5:1] |
Generators of the group modulo torsion |
j |
-162365278905918265/168057372672 |
j-invariant |
L |
12.736500632608 |
L(r)(E,1)/r! |
Ω |
0.77554491684148 |
Real period |
R |
0.22809232357366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650o1 |
Quadratic twists by: 5 |