Atkin-Lehner |
2+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664t |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
161978176 = 26 · 17 · 533 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 -6 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2789,-55769] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1:1] |
Generators of the group modulo torsion |
j |
37501184770048/2530909 |
j-invariant |
L |
3.4956283527038 |
L(r)(E,1)/r! |
Ω |
0.65694076086926 |
Real period |
R |
1.7736902934524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664bp2 901c2 |
Quadratic twists by: -4 8 |