Atkin-Lehner |
3- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981l |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
179705376279 = 33 · 116 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3- 1 1 11+ 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2718,-50795] |
[a1,a2,a3,a4,a6] |
j |
7679704613689/621817911 |
j-invariant |
L |
3.987813004613 |
L(r)(E,1)/r! |
Ω |
0.66463546774599 |
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 |
123981f1 |
Quadratic twists by: 17 |