Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600c |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.7710263296E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2304033,1082699937] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:38961:1] |
Generators of the group modulo torsion |
j |
330240275458561/67652010000 |
j-invariant |
L |
4.1701311760301 |
L(r)(E,1)/r! |
Ω |
0.16451648206859 |
Real period |
R |
6.3369504427636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600hu3 2550h3 16320bb3 |
Quadratic twists by: -4 8 5 |