Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
14240m |
Isogeny class |
Conductor |
14240 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-1127950400000 = -1 · 29 · 55 · 893 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -5 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2584,6616] |
[a1,a2,a3,a4,a6] |
Generators |
[33:356:1] |
Generators of the group modulo torsion |
j |
3725316686008/2203028125 |
j-invariant |
L |
2.0364550682786 |
L(r)(E,1)/r! |
Ω |
0.5294024630578 |
Real period |
R |
1.2822349789838 |
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 |
14240e1 28480u1 128160p1 71200g1 |
Quadratic twists by: -4 8 -3 5 |