Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160p |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
1486460160 = 28 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-501,-3735] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:18:1] |
Generators of the group modulo torsion |
j |
54433153024/5806485 |
j-invariant |
L |
4.1737057025374 |
L(r)(E,1)/r! |
Ω |
1.0159139321077 |
Real period |
R |
2.0541630401102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3540f1 56640cy1 42480bw1 70800cv1 |
Quadratic twists by: -4 8 -3 5 |