Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560a |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.8801940416008E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6245333256,-189966036577200] |
[a1,a2,a3,a4,a6] |
Generators |
[-2420788210491943435306349978381663860173678804118149240686892880325972852966126448592500518:-977770506593089274543681834860678950087579579685368982362203497920698981751829646579584126:53070650345760746249383231329955333243102349626656775975121047165065884364464068630673] |
Generators of the group modulo torsion |
j |
13154084057973759342630151347218/28711884968754052734375 |
j-invariant |
L |
4.4460949035302 |
L(r)(E,1)/r! |
Ω |
0.016982855216551 |
Real period |
R |
130.89951150255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280q2 114240jr2 85680br2 |
Quadratic twists by: -4 8 -3 |