Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513c |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-592783797771 = -1 · 39 · 116 · 17 |
Discriminant |
Eigenvalues |
-2 3+ 1 2 11- 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3267,80858] |
[a1,a2,a3,a4,a6] |
j |
-110592/17 |
j-invariant |
L |
1.7709391894023 |
L(r)(E,1)/r! |
Ω |
0.88546959470115 |
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 |
18513f1 153d1 |
Quadratic twists by: -3 -11 |