Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870z |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-7740339750000 = -1 · 24 · 39 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16434,825988] |
[a1,a2,a3,a4,a6] |
Generators |
[17:734:1] |
Generators of the group modulo torsion |
j |
-673350049820449/10617750000 |
j-invariant |
L |
3.5441640255702 |
L(r)(E,1)/r! |
Ω |
0.74214446000052 |
Real period |
R |
0.19898215108326 |
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 |
102960ec1 4290r1 64350eh1 |
Quadratic twists by: -4 -3 5 |