Atkin-Lehner |
3+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12483c |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
719445359313 = 39 · 193 · 732 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3201,-55720] |
[a1,a2,a3,a4,a6] |
Generators |
[1148:38262:1] |
Generators of the group modulo torsion |
j |
184317154371/36551611 |
j-invariant |
L |
5.7229544273815 |
L(r)(E,1)/r! |
Ω |
0.64349749916967 |
Real period |
R |
2.9645048788152 |
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 |
12483d1 |
Quadratic twists by: -3 |