Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664ba |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
161978176 = 26 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 1 -1 2 4 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-371,-2809] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1:1] |
Generators of the group modulo torsion |
j |
88478050816/2530909 |
j-invariant |
L |
7.3836284396707 |
L(r)(E,1)/r! |
Ω |
1.089476394155 |
Real period |
R |
2.259075545925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664bb1 28832h1 |
Quadratic twists by: -4 8 |