Atkin-Lehner |
2+ 3- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354i |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
2781216712848 = 24 · 3 · 78 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3830,43064] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:243:1] |
Generators of the group modulo torsion |
j |
6210935535799513/2781216712848 |
j-invariant |
L |
5.4341381683705 |
L(r)(E,1)/r! |
Ω |
0.72428907934984 |
Real period |
R |
0.9378400011996 |
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 |
55062bi1 128478u1 |
Quadratic twists by: -3 -7 |