Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12936m |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-434830704 = -1 · 24 · 3 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,1009] |
[a1,a2,a3,a4,a6] |
Generators |
[12:49:1] |
Generators of the group modulo torsion |
j |
-256/231 |
j-invariant |
L |
3.8337528344256 |
L(r)(E,1)/r! |
Ω |
1.3517026192687 |
Real period |
R |
0.70905996255668 |
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 |
25872v1 103488dv1 38808bf1 1848i1 |
Quadratic twists by: -4 8 -3 -7 |