Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673m |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-18598661387477019 = -1 · 37 · 17 · 298 |
Discriminant |
Eigenvalues |
0 3- 3 2 -3 7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-131196,-19431936] |
[a1,a2,a3,a4,a6] |
Generators |
[34742:6475279:1] |
Generators of the group modulo torsion |
j |
-575930368/42891 |
j-invariant |
L |
8.6169662397806 |
L(r)(E,1)/r! |
Ω |
0.124891915679 |
Real period |
R |
4.3122117453755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891k1 4437d1 |
Quadratic twists by: -3 29 |