Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18060k |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-89207075347488000 = -1 · 28 · 32 · 53 · 72 · 436 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179516,-32671980] |
[a1,a2,a3,a4,a6] |
Generators |
[10010:330165:8] |
Generators of the group modulo torsion |
j |
-2499169166314930384/348465138076125 |
j-invariant |
L |
5.6281770078019 |
L(r)(E,1)/r! |
Ω |
0.11507848364568 |
Real period |
R |
8.1512153409013 |
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 |
72240bf4 54180x4 90300a4 126420t4 |
Quadratic twists by: -4 -3 5 -7 |