Atkin-Lehner |
2- 3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24486o |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
Δ |
282278106645087168 = 26 · 312 · 76 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24073468,45460778576] |
[a1,a2,a3,a4,a6] |
Generators |
[-712:249836:1] |
Generators of the group modulo torsion |
j |
1542906787938890799948594625/282278106645087168 |
j-invariant |
L |
10.189085591876 |
L(r)(E,1)/r! |
Ω |
0.24322344205145 |
Real period |
R |
1.1636631442376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
73458m2 |
Quadratic twists by: -3 |