Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384o |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-47429369856 = -1 · 214 · 36 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 11+ 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,10528] |
[a1,a2,a3,a4,a6] |
j |
-65536/3971 |
j-invariant |
L |
1.8721423732862 |
L(r)(E,1)/r! |
Ω |
0.93607129082656 |
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 |
120384dr1 7524g1 13376g1 |
Quadratic twists by: -4 8 -3 |