Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168o |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-34947072 = -1 · 214 · 33 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-241] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
686000/2133 |
j-invariant |
L |
6.0795836946722 |
L(r)(E,1)/r! |
Ω |
1.0565299153454 |
Real period |
R |
0.95904899084731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168a1 3792c1 45504bi1 |
Quadratic twists by: -4 8 -3 |