Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160c |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
141600000 = 28 · 3 · 55 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -3 -5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,1405] |
[a1,a2,a3,a4,a6] |
j |
6072054784/553125 |
j-invariant |
L |
1.7900420822218 |
L(r)(E,1)/r! |
Ω |
1.7900420822218 |
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 |
7080k1 56640cz1 42480l1 70800o1 |
Quadratic twists by: -4 8 -3 5 |