Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bt |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-10989225000 = -1 · 23 · 32 · 55 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101,-5101] |
[a1,a2,a3,a4,a6] |
Generators |
[21:40:1] |
Generators of the group modulo torsion |
j |
-674636521/65025000 |
j-invariant |
L |
7.4078708613455 |
L(r)(E,1)/r! |
Ω |
0.56579475866185 |
Real period |
R |
1.0910715635947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190o1 |
Quadratic twists by: 13 |