Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bh |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-1082879928 = -1 · 23 · 39 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,3665] |
[a1,a2,a3,a4,a6] |
Generators |
[15:19:1] |
Generators of the group modulo torsion |
j |
-19719625/2808 |
j-invariant |
L |
7.8704735888341 |
L(r)(E,1)/r! |
Ω |
1.5004652927671 |
Real period |
R |
0.437112942706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41262l1 123786bf1 |
Quadratic twists by: -3 -23 |