Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19188a |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-230256 = -1 · 24 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 6 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3,-23] |
[a1,a2,a3,a4,a6] |
j |
6912/533 |
j-invariant |
L |
2.9880165265529 |
L(r)(E,1)/r! |
Ω |
1.4940082632764 |
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 |
76752v1 19188e1 |
Quadratic twists by: -4 -3 |