Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cb |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-1.2934158683283E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 11+ 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284364,-550280304] |
[a1,a2,a3,a4,a6] |
j |
-492851793699/25067266048 |
j-invariant |
L |
0.64972304324471 |
L(r)(E,1)/r! |
Ω |
0.08121550620571 |
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 |
120384j1 30096r1 120384ci1 |
Quadratic twists by: -4 8 -3 |