Atkin-Lehner |
3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24321q |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3204753849 = -1 · 33 · 116 · 67 |
Discriminant |
Eigenvalues |
1 3- -1 5 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,-2785] |
[a1,a2,a3,a4,a6] |
j |
-117649/1809 |
j-invariant |
L |
3.6459032119876 |
L(r)(E,1)/r! |
Ω |
0.6076505353313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72963u1 201b1 |
Quadratic twists by: -3 -11 |