Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14352z |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
8912592 = 24 · 34 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,170] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
2725888000/557037 |
j-invariant |
L |
5.0920290197683 |
L(r)(E,1)/r! |
Ω |
2.1910100206792 |
Real period |
R |
1.1620277798159 |
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 |
3588c1 57408cn1 43056bd1 |
Quadratic twists by: -4 8 -3 |