Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328l |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-155952 = -1 · 24 · 33 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -2 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[12:30:1] |
Generators of the group modulo torsion |
j |
-4864000/27 |
j-invariant |
L |
5.3211219067796 |
L(r)(E,1)/r! |
Ω |
0.84589670304602 |
Real period |
R |
2.0968367601775 |
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 |
8664h1 69312cl1 51984r1 17328a1 |
Quadratic twists by: -4 8 -3 -19 |