Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632q |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-13465310173952 = -1 · 28 · 77 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 1 2 7- -1 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6092,252272] |
[a1,a2,a3,a4,a6] |
Generators |
[2:490:1] |
Generators of the group modulo torsion |
j |
-830321872/447083 |
j-invariant |
L |
9.0852463690773 |
L(r)(E,1)/r! |
Ω |
0.65727314082296 |
Real period |
R |
1.727829308046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376p1 |
Quadratic twists by: -7 |