Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688q |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-5505034752 = -1 · 29 · 36 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 1 -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,-6442] |
[a1,a2,a3,a4,a6] |
Generators |
[29:34:1] |
Generators of the group modulo torsion |
j |
-57512456/14749 |
j-invariant |
L |
8.8717811887922 |
L(r)(E,1)/r! |
Ω |
0.48017094938806 |
Real period |
R |
3.0793828723952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86688bm1 9632g1 |
Quadratic twists by: -4 -3 |