Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310n |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
218349925517318400 = 28 · 310 · 52 · 132 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51919920,144008550400] |
[a1,a2,a3,a4,a6] |
Generators |
[3440:76400:1] |
Generators of the group modulo torsion |
j |
21232358201356105374155521/299519788089600 |
j-invariant |
L |
3.577559753545 |
L(r)(E,1)/r! |
Ω |
0.22364260010038 |
Real period |
R |
3.9991930785339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16770z3 |
Quadratic twists by: -3 |