Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044d |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
1072274868372816 = 24 · 39 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114264,14782905] |
[a1,a2,a3,a4,a6] |
Generators |
[-368:2645:1] |
Generators of the group modulo torsion |
j |
3538944/23 |
j-invariant |
L |
5.8185277910422 |
L(r)(E,1)/r! |
Ω |
0.49360544795953 |
Real period |
R |
1.9646351875757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76176bl1 19044e1 828b1 |
Quadratic twists by: -4 -3 -23 |