Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bb |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1504181346140928 = -1 · 28 · 3 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 6 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33180,2971164] |
[a1,a2,a3,a4,a6] |
Generators |
[602:14196:1] |
Generators of the group modulo torsion |
j |
-3269383504/1217307 |
j-invariant |
L |
6.3079570388918 |
L(r)(E,1)/r! |
Ω |
0.44901263240368 |
Real period |
R |
1.7560633553833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392v2 4368i2 |
Quadratic twists by: -4 13 |