Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bx |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
143543544900 = 22 · 3 · 52 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6126,-186201] |
[a1,a2,a3,a4,a6] |
j |
216108018001/1220100 |
j-invariant |
L |
2.159296889035 |
L(r)(E,1)/r! |
Ω |
0.53982448858896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bj1 |
Quadratic twists by: -7 |