Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9996q |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1.191949971399E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120563389,-509599053937] |
[a1,a2,a3,a4,a6] |
Generators |
[13946:722211:1] |
Generators of the group modulo torsion |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
6.1376216506772 |
L(r)(E,1)/r! |
Ω |
0.022780544184155 |
Real period |
R |
2.1382844302624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984cm1 29988bh1 1428b1 |
Quadratic twists by: -4 -3 -7 |