Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21528d |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45311060460047616 = 28 · 313 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2421039,1449906370] |
[a1,a2,a3,a4,a6] |
Generators |
[952049:43541100:343] |
Generators of the group modulo torsion |
j |
8409333473922419152/242793319509 |
j-invariant |
L |
6.6045514425857 |
L(r)(E,1)/r! |
Ω |
0.33440989549511 |
Real period |
R |
9.8749342222772 |
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 |
43056b2 7176n2 |
Quadratic twists by: -4 -3 |