Atkin-Lehner |
2- 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310ca |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
55437079220640 = 25 · 38 · 5 · 134 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11768,-333349] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:205:1] [-57:415:1] |
Generators of the group modulo torsion |
j |
247212009217081/76045376160 |
j-invariant |
L |
12.21982640101 |
L(r)(E,1)/r! |
Ω |
0.46937761126128 |
Real period |
R |
1.301705290989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770k2 |
Quadratic twists by: -3 |