Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448r |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
45084993260617728 = 236 · 33 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89835,-1744614] |
[a1,a2,a3,a4,a6] |
Generators |
[-16845:351654:125] |
Generators of the group modulo torsion |
j |
724997846257875/407669571584 |
j-invariant |
L |
6.9937410964202 |
L(r)(E,1)/r! |
Ω |
0.29671763738344 |
Real period |
R |
5.8925896326856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9306h1 74448o1 |
Quadratic twists by: -4 -3 |