Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685p |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9140293941075 = 34 · 52 · 11 · 177 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7205788,7444495331] |
[a1,a2,a3,a4,a6] |
Generators |
[9050310:-5364881:5832] |
Generators of the group modulo torsion |
j |
1714251504439303129/378675 |
j-invariant |
L |
7.3110633790124 |
L(r)(E,1)/r! |
Ω |
0.42737083995284 |
Real period |
R |
8.5535355895824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2805b3 |
Quadratic twists by: 17 |