Atkin-Lehner |
2- 89- |
Signs for the Atkin-Lehner involutions |
Class |
1424f |
Isogeny class |
Conductor |
1424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
364544 = 212 · 89 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
389017/89 |
j-invariant |
L |
1.7809005127442 |
L(r)(E,1)/r! |
Ω |
2.1848939357668 |
Real period |
R |
0.81509700932882 |
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 |
89b2 5696n1 12816h1 35600bc1 |
Quadratic twists by: -4 8 -3 5 |