Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3744f |
Isogeny class |
Conductor |
3744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
5458752 = 26 · 38 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,-808] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
3.409477155763 |
L(r)(E,1)/r! |
Ω |
1.3329593406492 |
Real period |
R |
1.2789126613954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3744e1 7488bo2 1248g1 93600dj1 |
Quadratic twists by: -4 8 -3 5 |