Atkin-Lehner |
2- 3- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24486n |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1411246528477632 = 26 · 38 · 78 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-203049,35153433] |
[a1,a2,a3,a4,a6] |
Generators |
[-504:3339:1] |
Generators of the group modulo torsion |
j |
925819685181805928977/1411246528477632 |
j-invariant |
L |
8.8689940871751 |
L(r)(E,1)/r! |
Ω |
0.47943689599291 |
Real period |
R |
0.77078218924651 |
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 |
73458n4 |
Quadratic twists by: -3 |