Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bs |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
-34700400000000 = -1 · 210 · 36 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14643,738558] |
[a1,a2,a3,a4,a6] |
j |
-465142919364/46484375 |
j-invariant |
L |
2.5498462845325 |
L(r)(E,1)/r! |
Ω |
0.63746157111252 |
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 |
85680bn1 4760c1 |
Quadratic twists by: -4 -3 |