Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24321m |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
56820314585554641 = 310 · 118 · 672 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119127,-10915200] |
[a1,a2,a3,a4,a6] |
Generators |
[972:27654:1] |
Generators of the group modulo torsion |
j |
105535468883593/32073586281 |
j-invariant |
L |
5.2133486991747 |
L(r)(E,1)/r! |
Ω |
0.2630438508379 |
Real period |
R |
3.9638628179812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72963j2 2211e2 |
Quadratic twists by: -3 -11 |