Atkin-Lehner |
2+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52288g |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4604690432 = -1 · 217 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ -1 2 -1 -6 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,-1663] |
[a1,a2,a3,a4,a6] |
Generators |
[8:43:1] |
Generators of the group modulo torsion |
j |
47279806/35131 |
j-invariant |
L |
3.8912677278825 |
L(r)(E,1)/r! |
Ω |
0.77006640888931 |
Real period |
R |
1.2632896601283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288m1 6536b1 |
Quadratic twists by: -4 8 |