Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12384o |
Isogeny class |
Conductor |
12384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-7581732876288 = -1 · 212 · 316 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 1 3 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3720,-158672] |
[a1,a2,a3,a4,a6] |
j |
-1906624000/2539107 |
j-invariant |
L |
1.1651808748576 |
L(r)(E,1)/r! |
Ω |
0.29129521871441 |
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 |
12384c1 24768j1 4128e1 |
Quadratic twists by: -4 8 -3 |