Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896a |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
4161024 = 29 · 33 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
14172488/8127 |
j-invariant |
L |
4.770786069481 |
L(r)(E,1)/r! |
Ω |
2.0559689216874 |
Real period |
R |
1.1602281579153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28896u1 57792bj1 86688bi1 |
Quadratic twists by: -4 8 -3 |