Atkin-Lehner |
2- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82654p |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
851904 |
Modular degree for the optimal curve |
Δ |
-1180824075322191872 = -1 · 212 · 11 · 13 · 1710 |
Discriminant |
Eigenvalues |
2- -1 0 1 11- 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,165302,-45364905] |
[a1,a2,a3,a4,a6] |
j |
247781375/585728 |
j-invariant |
L |
1.7005535577854 |
L(r)(E,1)/r! |
Ω |
0.14171280191879 |
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 |
82654l1 |
Quadratic twists by: 17 |