Atkin-Lehner |
2+ 5+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126160a |
Isogeny class |
Conductor |
126160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16512 |
Modular degree for the optimal curve |
Δ |
2018560 = 28 · 5 · 19 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 4 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,301] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
232428544/7885 |
j-invariant |
L |
4.4393830736796 |
L(r)(E,1)/r! |
Ω |
2.60279124404 |
Real period |
R |
1.7056239172127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000171945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63080a1 |
Quadratic twists by: -4 |