Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dv |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
179933907648 = 26 · 3 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1672,-17182] |
[a1,a2,a3,a4,a6] |
Generators |
[362:345:8] |
Generators of the group modulo torsion |
j |
8081877754432/2811467307 |
j-invariant |
L |
9.2713987575445 |
L(r)(E,1)/r! |
Ω |
0.76782540222775 |
Real period |
R |
4.0249596373731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576ca1 24288d2 |
Quadratic twists by: -4 8 |