Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488k |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4745639165952 = 216 · 3 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74369,7830273] |
[a1,a2,a3,a4,a6] |
Generators |
[23795:91448:125] |
Generators of the group modulo torsion |
j |
28756228/3 |
j-invariant |
L |
5.2161073014831 |
L(r)(E,1)/r! |
Ω |
0.73967876476774 |
Real period |
R |
7.051854872613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488du4 6936m4 192c4 |
Quadratic twists by: -4 8 17 |