Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776m |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-42468636622848 = -1 · 237 · 3 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 3 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180449,-29565825] |
[a1,a2,a3,a4,a6] |
j |
-2478846508717753/162004992 |
j-invariant |
L |
1.8531006921291 |
L(r)(E,1)/r! |
Ω |
0.11581879325807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19776y1 618b1 59328h1 |
Quadratic twists by: -4 8 -3 |