Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488du |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-20757425711874048 = -1 · 217 · 38 · 176 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18111,6874047] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2601:1] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
5.6807014106244 |
L(r)(E,1)/r! |
Ω |
0.28910380075384 |
Real period |
R |
1.2280842978539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488k5 13872b6 192d6 |
Quadratic twists by: -4 8 17 |