Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016j |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
116594049024 = 218 · 34 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6689,-207711] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:12:1] [95:72:1] |
Generators of the group modulo torsion |
j |
126279339913/444771 |
j-invariant |
L |
8.3244199023633 |
L(r)(E,1)/r! |
Ω |
0.52801447543951 |
Real period |
R |
7.8827572818101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016cn2 969a2 |
Quadratic twists by: -4 8 |