Atkin-Lehner |
2+ 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544m |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
78818903108176 = 24 · 73 · 118 · 67 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 11+ 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11599,-216934] |
[a1,a2,a3,a4,a6] |
j |
10787053101463552/4926181444261 |
j-invariant |
L |
2.8823537820382 |
L(r)(E,1)/r! |
Ω |
0.4803922942574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41272d1 |
Quadratic twists by: -4 |