Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410bk |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7403226614433054720 = 224 · 37 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-649382,-152913099] |
[a1,a2,a3,a4,a6] |
Generators |
[-631:2619:1] |
Generators of the group modulo torsion |
j |
353108405631241/86318776320 |
j-invariant |
L |
5.5942974861861 |
L(r)(E,1)/r! |
Ω |
0.17117928911143 |
Real period |
R |
1.3617052027792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280fe3 1470b3 22050bd3 630i3 |
Quadratic twists by: -4 -3 5 -7 |