Atkin-Lehner |
19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41971a |
Isogeny class |
Conductor |
41971 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
35190 |
Modular degree for the optimal curve |
Δ |
-204805091251 = -1 · 19 · 476 |
Discriminant |
Eigenvalues |
0 -2 -3 -1 -3 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1473,1452] |
[a1,a2,a3,a4,a6] |
j |
32768/19 |
j-invariant |
L |
0.60199829667838 |
L(r)(E,1)/r! |
Ω |
0.60199829662886 |
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 |
19a3 |
Quadratic twists by: -47 |