Atkin-Lehner |
2+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17914f |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-248716375143049216 = -1 · 211 · 138 · 533 |
Discriminant |
Eigenvalues |
2+ 0 1 2 -1 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1310204,578066256] |
[a1,a2,a3,a4,a6] |
j |
-51532421181502689/51528116224 |
j-invariant |
L |
1.8616716592341 |
L(r)(E,1)/r! |
Ω |
0.31027860987235 |
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 |
1378c1 |
Quadratic twists by: 13 |