Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824v |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
3.7848639396026E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4286464,3401557940] |
[a1,a2,a3,a4,a6] |
j |
2126480513962938771457/9240390477545472 |
j-invariant |
L |
2.0617430022909 |
L(r)(E,1)/r! |
Ω |
0.20617430022909 |
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 |
2478g1 79296bg1 59472ba1 |
Quadratic twists by: -4 8 -3 |