Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576d |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-6300224 = -1 · 26 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 3 0 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,118] |
[a1,a2,a3,a4,a6] |
Generators |
[9:28:1] |
Generators of the group modulo torsion |
j |
-3136/41 |
j-invariant |
L |
7.4462187308748 |
L(r)(E,1)/r! |
Ω |
2.0201293556578 |
Real period |
R |
1.2286702735526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576e1 64288a1 128576bk1 |
Quadratic twists by: -4 8 -7 |