Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cl |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.5174374392889E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9590656,11338387456] |
[a1,a2,a3,a4,a6] |
Generators |
[-2304:145600:1] |
Generators of the group modulo torsion |
j |
23818189767728437646209/232359312482640000 |
j-invariant |
L |
4.0734300547252 |
L(r)(E,1)/r! |
Ω |
0.15752761503185 |
Real period |
R |
3.2323142627259 |
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 |
3570x3 114240kk3 85680fa3 |
Quadratic twists by: -4 8 -3 |