Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1216m |
Isogeny class |
Conductor |
1216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-622592 = -1 · 215 · 19 |
Discriminant |
Eigenvalues |
2- 3 0 1 2 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-16] |
[a1,a2,a3,a4,a6] |
j |
27000/19 |
j-invariant |
L |
3.2591098011641 |
L(r)(E,1)/r! |
Ω |
1.6295549005821 |
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 |
1216r1 608f1 10944bs1 30400bl1 |
Quadratic twists by: -4 8 -3 5 |