Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19608g |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
67765248 = 210 · 34 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,-1536] |
[a1,a2,a3,a4,a6] |
Generators |
[88:816:1] |
Generators of the group modulo torsion |
j |
1653974500/66177 |
j-invariant |
L |
6.5462036616646 |
L(r)(E,1)/r! |
Ω |
1.2056211260477 |
Real period |
R |
2.7148676811613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39216c1 58824a1 |
Quadratic twists by: -4 -3 |