Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044m |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-296172288 = -1 · 28 · 37 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 0 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,5060] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:90:1] [16:-18:1] |
Generators of the group modulo torsion |
j |
-188416/3 |
j-invariant |
L |
5.6543530482848 |
L(r)(E,1)/r! |
Ω |
1.7320504636923 |
Real period |
R |
0.2720452418878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176cm1 6348c1 19044l1 |
Quadratic twists by: -4 -3 -23 |