Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18772g |
Isogeny class |
Conductor |
18772 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-38672466916096 = -1 · 28 · 132 · 197 |
Discriminant |
Eigenvalues |
2- 0 -3 3 3 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5776,-246924] |
[a1,a2,a3,a4,a6] |
j |
1769472/3211 |
j-invariant |
L |
1.3571971745904 |
L(r)(E,1)/r! |
Ω |
0.3392992936476 |
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 |
75088ba1 988c1 |
Quadratic twists by: -4 -19 |