Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bn |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-10859184 = -1 · 24 · 36 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,135] |
[a1,a2,a3,a4,a6] |
Generators |
[255:980:27] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
6.1344355368619 |
L(r)(E,1)/r! |
Ω |
1.5768320421368 |
Real period |
R |
3.8903544403809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4788f1 76608em1 2128a1 |
Quadratic twists by: -4 8 -3 |