Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17892g |
Isogeny class |
Conductor |
17892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-7669441584 = -1 · 24 · 39 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 5 3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[19:126:1] |
Generators of the group modulo torsion |
j |
1129201664/657531 |
j-invariant |
L |
5.3558855871703 |
L(r)(E,1)/r! |
Ω |
0.77884203654725 |
Real period |
R |
1.1461214931579 |
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 |
71568bi1 5964b1 125244x1 |
Quadratic twists by: -4 -3 -7 |