Atkin-Lehner |
3+ 7+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106533d |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
478063534977 = 33 · 76 · 19 · 892 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30528,-2045149] |
[a1,a2,a3,a4,a6] |
j |
116536778702797851/17706056851 |
j-invariant |
L |
0.72236748420959 |
L(r)(E,1)/r! |
Ω |
0.3611837968039 |
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 |
106533b1 |
Quadratic twists by: -3 |