Atkin-Lehner |
3+ 7+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16401a |
Isogeny class |
Conductor |
16401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
602850064509 = 38 · 76 · 11 · 71 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3586,-75245] |
[a1,a2,a3,a4,a6] |
Generators |
[2390:39305:8] |
Generators of the group modulo torsion |
j |
5102039138625577/602850064509 |
j-invariant |
L |
3.1067735173767 |
L(r)(E,1)/r! |
Ω |
0.62168499730564 |
Real period |
R |
4.9973435595861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49203d2 114807p2 |
Quadratic twists by: -3 -7 |