Atkin-Lehner |
2+ 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382i |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-17030727054655488 = -1 · 218 · 314 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 2 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-121869,17568229] |
[a1,a2,a3,a4,a6] |
j |
-274585709373920209/23361765507072 |
j-invariant |
L |
1.5268822726083 |
L(r)(E,1)/r! |
Ω |
0.38172056815208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056be1 4794c1 |
Quadratic twists by: -4 -3 |