Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728dk |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-5.8902133271843E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14355579,23971531178] |
[a1,a2,a3,a4,a6] |
Generators |
[36799:7023366:1] |
Generators of the group modulo torsion |
j |
-19007021070457/3421836288 |
j-invariant |
L |
7.8847484689469 |
L(r)(E,1)/r! |
Ω |
0.10688105356162 |
Real period |
R |
6.1476038093088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466bu1 30576bi1 91728ft1 |
Quadratic twists by: -4 -3 -7 |