Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456cf |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-16815079194624 = -1 · 215 · 39 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 1 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,239002] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1566:1] |
Generators of the group modulo torsion |
j |
-4549540393/5631336 |
j-invariant |
L |
8.4185301329497 |
L(r)(E,1)/r! |
Ω |
0.62764504565061 |
Real period |
R |
0.83830524179816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182q1 43152bd1 |
Quadratic twists by: -4 -3 |