Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582w |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
106228346349888 = 26 · 34 · 72 · 535 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 5 -5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49036,-4154032] |
[a1,a2,a3,a4,a6] |
j |
266117414136988561/2167925435712 |
j-invariant |
L |
7.7036292449745 |
L(r)(E,1)/r! |
Ω |
0.32098455187394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656cl1 46746v1 15582p1 |
Quadratic twists by: -4 -3 -7 |