Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245d |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
514446708735 = 37 · 5 · 196 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-259988,51089312] |
[a1,a2,a3,a4,a6] |
Generators |
[2430:959:8] |
Generators of the group modulo torsion |
j |
56667352321/15 |
j-invariant |
L |
3.0506545649073 |
L(r)(E,1)/r! |
Ω |
0.74205761958931 |
Real period |
R |
4.1110750491257 |
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 |
5415k3 81225z4 45a3 |
Quadratic twists by: -3 5 -19 |