Atkin-Lehner |
2+ 3- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24486g |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4044745718244 = -1 · 22 · 36 · 7 · 113 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21652,1228262] |
[a1,a2,a3,a4,a6] |
j |
-1122506679026239417/4044745718244 |
j-invariant |
L |
3.1403954702608 |
L(r)(E,1)/r! |
Ω |
0.78509886756516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73458bh1 |
Quadratic twists by: -3 |