Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12792j |
Isogeny class |
Conductor |
12792 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-230256 = -1 · 24 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
3114752/14391 |
j-invariant |
L |
4.3895315974772 |
L(r)(E,1)/r! |
Ω |
1.5831289998433 |
Real period |
R |
0.46211559490853 |
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 |
25584f1 102336j1 38376i1 |
Quadratic twists by: -4 8 -3 |