Atkin-Lehner |
2- 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824r |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
4170216112128 = 222 · 32 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36312,2673648] |
[a1,a2,a3,a4,a6] |
Generators |
[106:66:1] |
Generators of the group modulo torsion |
j |
1292784788612953/1018119168 |
j-invariant |
L |
6.8785062437874 |
L(r)(E,1)/r! |
Ω |
0.77360523000718 |
Real period |
R |
1.4819156629641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478d1 |
Quadratic twists by: -4 |