Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792ba |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
535211712 = 26 · 34 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204,-90] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:14:1] |
Generators of the group modulo torsion |
j |
14742169408/8362683 |
j-invariant |
L |
4.0695580375388 |
L(r)(E,1)/r! |
Ω |
1.3630496402661 |
Real period |
R |
1.4928135841137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792bf1 28896t3 |
Quadratic twists by: -4 8 |