Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420u |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-919412817120000 = -1 · 28 · 36 · 54 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3168,-1457244] |
[a1,a2,a3,a4,a6] |
Generators |
[232:-3430:1] |
Generators of the group modulo torsion |
j |
18841337856/4926551875 |
j-invariant |
L |
7.7018998492797 |
L(r)(E,1)/r! |
Ω |
0.23381379555926 |
Real period |
R |
0.6862565425836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9380a1 |
Quadratic twists by: -3 |