Atkin-Lehner |
19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15979a |
Isogeny class |
Conductor |
15979 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-11301643099 = -1 · 19 · 296 |
Discriminant |
Eigenvalues |
0 2 3 -1 -3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,561,-413] |
[a1,a2,a3,a4,a6] |
Generators |
[765:9307:729] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
6.3606416468113 |
L(r)(E,1)/r! |
Ω |
0.75750313064895 |
Real period |
R |
4.1984259796802 |
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 |
19a3 |
Quadratic twists by: 29 |