Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632g |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2772224 = 28 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 3 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,1989] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
213541888/221 |
j-invariant |
L |
8.2503519261216 |
L(r)(E,1)/r! |
Ω |
2.5389795622154 |
Real period |
R |
0.81236887913138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86632a1 |
Quadratic twists by: -7 |