Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488i |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8.0577763968345E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53722017,151574495265] |
[a1,a2,a3,a4,a6] |
Generators |
[412054148610:5362168029525:86350888] |
Generators of the group modulo torsion |
j |
551569744601/2592 |
j-invariant |
L |
6.284109576938 |
L(r)(E,1)/r! |
Ω |
0.17019086840358 |
Real period |
R |
18.46194697722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488ds2 1734f2 55488bm2 |
Quadratic twists by: -4 8 17 |