Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45486d |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3942400 |
Modular degree for the optimal curve |
Δ |
1.1650862898055E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7168302,-5251711788] |
[a1,a2,a3,a4,a6] |
j |
8146748259978623875/2330074250477568 |
j-invariant |
L |
0.75420924585726 |
L(r)(E,1)/r! |
Ω |
0.094276155712309 |
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 |
15162z1 45486z1 |
Quadratic twists by: -3 -19 |