Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12084d |
Isogeny class |
Conductor |
12084 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1104 |
Modular degree for the optimal curve |
Δ |
48336 = 24 · 3 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,6] |
[a1,a2,a3,a4,a6] |
j |
5619712/3021 |
j-invariant |
L |
3.1239688914277 |
L(r)(E,1)/r! |
Ω |
3.1239688914277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336bq1 36252j1 |
Quadratic twists by: -4 -3 |