Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cg |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-43868160000 = -1 · 216 · 32 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176,10176] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:54:1] [8:-96:1] |
Generators of the group modulo torsion |
j |
-148035889/10710000 |
j-invariant |
L |
6.405274709029 |
L(r)(E,1)/r! |
Ω |
0.94006901122917 |
Real period |
R |
1.7034054501633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570w1 114240js1 85680fj1 |
Quadratic twists by: -4 8 -3 |