Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14160ba |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
18124800 = 212 · 3 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1480,21428] |
[a1,a2,a3,a4,a6] |
j |
87587538121/4425 |
j-invariant |
L |
4.1161590855497 |
L(r)(E,1)/r! |
Ω |
2.0580795427748 |
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 |
885b1 56640bu1 42480bp1 70800u1 |
Quadratic twists by: -4 8 -3 5 |