Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bq |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-1.2563169496696E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -2 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,208591,166491649] |
[a1,a2,a3,a4,a6] |
Generators |
[857:30782:1] |
Generators of the group modulo torsion |
j |
9300746727/116413856 |
j-invariant |
L |
5.8513132673606 |
L(r)(E,1)/r! |
Ω |
0.16622258089955 |
Real period |
R |
3.5201674728575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754e1 5382m1 |
Quadratic twists by: -3 -23 |