Atkin-Lehner |
3+ 7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106533a |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
199110177 = 33 · 72 · 19 · 892 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ -4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147,144] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:219:8] |
Generators of the group modulo torsion |
j |
13060888875/7374451 |
j-invariant |
L |
6.0960716945228 |
L(r)(E,1)/r! |
Ω |
1.539412587155 |
Real period |
R |
1.9799992910504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533f1 |
Quadratic twists by: -3 |