Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bj |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
37161504000 = 28 · 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 1 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,-11252] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:54:1] |
Generators of the group modulo torsion |
j |
850518016/199125 |
j-invariant |
L |
5.3110915895028 |
L(r)(E,1)/r! |
Ω |
0.8377303429092 |
Real period |
R |
0.79248227583814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10620j1 14160bd1 |
Quadratic twists by: -4 -3 |