Atkin-Lehner |
2+ 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050x |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1713768000000000 = 212 · 3 · 59 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-555201,159170548] |
[a1,a2,a3,a4,a6] |
j |
9690434885596373/877449216 |
j-invariant |
L |
3.6114248522852 |
L(r)(E,1)/r! |
Ω |
0.45142814349759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050bs1 |
Quadratic twists by: 5 |