Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-5803038694440960 = -1 · 226 · 3 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31295,-2971585] |
[a1,a2,a3,a4,a6] |
Generators |
[22708508475381:-575438439227392:38034753147] |
Generators of the group modulo torsion |
j |
109902239/188160 |
j-invariant |
L |
8.6654025178516 |
L(r)(E,1)/r! |
Ω |
0.22414965638015 |
Real period |
R |
19.32950212325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bq1 11760br1 6720bg1 |
Quadratic twists by: -4 8 -7 |