Atkin-Lehner |
2- 3- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bh |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-4.3118841545689E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1141943,566345679] |
[a1,a2,a3,a4,a6] |
j |
-225906697793311715881/59147930789696448 |
j-invariant |
L |
9.2633587674449 |
L(r)(E,1)/r! |
Ω |
0.19298667664447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294b1 |
Quadratic twists by: -3 |