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 |
-4552486778782111257 = -1 · 320 · 117 · 67 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,326758,-73249923] |
[a1,a2,a3,a4,a6] |
Generators |
[56884:1912273:64] |
Generators of the group modulo torsion |
j |
2177941476727367/2569760103537 |
j-invariant |
L |
5.2133486991747 |
L(r)(E,1)/r! |
Ω |
0.13152192541895 |
Real period |
R |
7.9277256359624 |
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 |
72963j3 2211e4 |
Quadratic twists by: -3 -11 |