Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384dg |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-1.3386089662421E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5921807,-468322033] |
[a1,a2,a3,a4,a6] |
j |
1401736707877453022000/817022074122378423 |
j-invariant |
L |
3.7146931318271 |
L(r)(E,1)/r! |
Ω |
0.074293862891942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384m1 18096c1 |
Quadratic twists by: -4 8 |