Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
42720k |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-27340800 = -1 · 212 · 3 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,-741] |
[a1,a2,a3,a4,a6] |
Generators |
[14:15:1] |
Generators of the group modulo torsion |
j |
-76225024/6675 |
j-invariant |
L |
6.2117241827637 |
L(r)(E,1)/r! |
Ω |
0.68887977606287 |
Real period |
R |
2.2542845640849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42720d1 85440bf1 128160s1 |
Quadratic twists by: -4 8 -3 |