Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384dh |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1805836203072 = -1 · 26 · 39 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2481,-43792] |
[a1,a2,a3,a4,a6] |
j |
36198994112/38705337 |
j-invariant |
L |
1.8096121652098 |
L(r)(E,1)/r! |
Ω |
0.45240299097875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384cy1 60192s2 40128bf1 |
Quadratic twists by: -4 8 -3 |