Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084f |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4110343112049408 = 28 · 39 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225615,-41132234] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:338:1] |
Generators of the group modulo torsion |
j |
1409938000/4563 |
j-invariant |
L |
3.809775255768 |
L(r)(E,1)/r! |
Ω |
0.21909984289574 |
Real period |
R |
1.4490255543683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24336bh2 97344y2 2028d2 468d2 |
Quadratic twists by: -4 8 -3 13 |