Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cn |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-2263004835840 = -1 · 212 · 33 · 5 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,664,71856] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:224:1] |
Generators of the group modulo torsion |
j |
7892485271/552491415 |
j-invariant |
L |
4.5902892516798 |
L(r)(E,1)/r! |
Ω |
0.62612154105165 |
Real period |
R |
1.8328267559561 |
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 |
1785i1 114240kr1 85680ft1 |
Quadratic twists by: -4 8 -3 |