Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48504m |
Isogeny class |
Conductor |
48504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
23572944 = 24 · 36 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -6 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255,-1638] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:3:1] |
Generators of the group modulo torsion |
j |
115060504576/1473309 |
j-invariant |
L |
8.8837615495152 |
L(r)(E,1)/r! |
Ω |
1.1952508825035 |
Real period |
R |
0.61937913897334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97008b1 |
Quadratic twists by: -4 |