Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cq |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
998643892224 = 215 · 3 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2689,-24769] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:60:1] [506:1995:8] |
Generators of the group modulo torsion |
j |
65645911304/30476193 |
j-invariant |
L |
10.959232490306 |
L(r)(E,1)/r! |
Ω |
0.69323599779575 |
Real period |
R |
15.808804685793 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bm4 32736g3 |
Quadratic twists by: -4 8 |