Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550q |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-12218750 = -1 · 2 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -2 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8,166] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
3375/782 |
j-invariant |
L |
1.9481834748926 |
L(r)(E,1)/r! |
Ω |
1.7434285845757 |
Real period |
R |
0.55872190353202 |
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 |
782d1 |
Quadratic twists by: 5 |