Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ci |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-2.855140600586E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2369787,1427485738] |
[a1,a2,a3,a4,a6] |
Generators |
[1709:48672:1] |
Generators of the group modulo torsion |
j |
-47113735347/913952 |
j-invariant |
L |
6.7802899301455 |
L(r)(E,1)/r! |
Ω |
0.21016234207498 |
Real period |
R |
2.0163846509945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466bk1 91728ck1 91728cf1 |
Quadratic twists by: -4 -3 -7 |