Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-25255373616000000 = -1 · 210 · 34 · 56 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179725,30366877] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5445:1] |
Generators of the group modulo torsion |
j |
-353912203264/13921875 |
j-invariant |
L |
5.2229673007231 |
L(r)(E,1)/r! |
Ω |
0.37451494059058 |
Real period |
R |
0.58108132664485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999542071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160jc1 14520r1 10560h1 |
Quadratic twists by: -4 8 -11 |