Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486bj |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
2.8602733917941E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 6 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3297803,2157505179] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/8339853312 |
j-invariant |
L |
8.1513493936706 |
L(r)(E,1)/r! |
Ω |
0.16981977903526 |
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 |
15162g1 2394d1 |
Quadratic twists by: -3 -19 |