Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19665n |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-282171256155 = -1 · 317 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -5 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1038,-28616] |
[a1,a2,a3,a4,a6] |
Generators |
[434:2183:8] |
Generators of the group modulo torsion |
j |
-169663430656/387066195 |
j-invariant |
L |
2.5301344314199 |
L(r)(E,1)/r! |
Ω |
0.39316171090399 |
Real period |
R |
1.6088382726807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6555f1 98325y1 |
Quadratic twists by: -3 5 |