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 |
128132257480704 = 216 · 34 · 176 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28129,1722911] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1728:1] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
5.6807014106244 |
L(r)(E,1)/r! |
Ω |
0.57820760150769 |
Real period |
R |
2.4561685957078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55488k3 13872b4 192d4 |
Quadratic twists by: -4 8 17 |