Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112ba |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-957363722708372928 = -1 · 26 · 316 · 134 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22803,-47057020] |
[a1,a2,a3,a4,a6] |
Generators |
[316547:9455888:343] |
Generators of the group modulo torsion |
j |
28105555379264/20519627115663 |
j-invariant |
L |
4.1850012063804 |
L(r)(E,1)/r! |
Ω |
0.13010290443903 |
Real period |
R |
8.0417136418769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112k1 28704c1 |
Quadratic twists by: -4 -3 |