Atkin-Lehner |
3+ 7+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106533f |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
145151319033 = 39 · 72 · 19 · 892 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1325,-2564] |
[a1,a2,a3,a4,a6] |
j |
13060888875/7374451 |
j-invariant |
L |
1.7053829677107 |
L(r)(E,1)/r! |
Ω |
0.85269148361488 |
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 |
106533a1 |
Quadratic twists by: -3 |