Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576a |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-30979763863552 = -1 · 217 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 2 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,-345744] |
[a1,a2,a3,a4,a6] |
Generators |
[27147016:903078980:24389] |
Generators of the group modulo torsion |
j |
-47250/41 |
j-invariant |
L |
6.6320210646047 |
L(r)(E,1)/r! |
Ω |
0.25308827543366 |
Real period |
R |
13.102189652337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998455601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576bx1 16072a1 128576bc1 |
Quadratic twists by: -4 8 -7 |