Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084m |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-31539456 = -1 · 28 · 36 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 4 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4719,124774] |
[a1,a2,a3,a4,a6] |
Generators |
[38:18:1] |
Generators of the group modulo torsion |
j |
-368484688 |
j-invariant |
L |
3.7171172538456 |
L(r)(E,1)/r! |
Ω |
1.808307109592 |
Real period |
R |
1.0277892604991 |
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 |
24336ca2 97344cn2 676b2 6084l2 |
Quadratic twists by: -4 8 -3 13 |