Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582p |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
1.2497658719718E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 5 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2402765,1422430211] |
[a1,a2,a3,a4,a6] |
j |
266117414136988561/2167925435712 |
j-invariant |
L |
2.7136962320177 |
L(r)(E,1)/r! |
Ω |
0.22614135266814 |
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 |
124656dc1 46746f1 15582w1 |
Quadratic twists by: -4 -3 -7 |