Atkin-Lehner |
2- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57038l |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
123120 |
Modular degree for the optimal curve |
Δ |
10733611841912 = 23 · 198 · 79 |
Discriminant |
Eigenvalues |
2- 2 0 -3 -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16433,788503] |
[a1,a2,a3,a4,a6] |
j |
28896625/632 |
j-invariant |
L |
2.1599058136443 |
L(r)(E,1)/r! |
Ω |
0.71996860545969 |
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 |
57038h1 |
Quadratic twists by: -19 |