Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920z |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.5846419277545E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2590785,-1714677183] |
[a1,a2,a3,a4,a6] |
j |
-7336316844655213969/604492922880000 |
j-invariant |
L |
0.94752035658494 |
L(r)(E,1)/r! |
Ω |
0.05922002232849 |
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 |
73920ik1 2310r1 |
Quadratic twists by: -4 8 |