Atkin-Lehner |
3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12483h |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1180032108273 = -1 · 37 · 19 · 734 |
Discriminant |
Eigenvalues |
1 3- -2 4 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1737,-44654] |
[a1,a2,a3,a4,a6] |
Generators |
[750:7363:8] |
Generators of the group modulo torsion |
j |
794794754447/1618699737 |
j-invariant |
L |
5.3391395816157 |
L(r)(E,1)/r! |
Ω |
0.45123690318175 |
Real period |
R |
2.9580579203344 |
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 |
4161b4 |
Quadratic twists by: -3 |