Atkin-Lehner |
2- 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
24282l |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-45441917568 = -1 · 27 · 36 · 193 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -4 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,328,9915] |
[a1,a2,a3,a4,a6] |
Generators |
[23:159:1] |
Generators of the group modulo torsion |
j |
5368567751/62334592 |
j-invariant |
L |
5.0084297829463 |
L(r)(E,1)/r! |
Ω |
0.83817296146665 |
Real period |
R |
0.14227174300245 |
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 |
2698b1 |
Quadratic twists by: -3 |