Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29016k |
Isogeny class |
Conductor |
29016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-676885248 = -1 · 28 · 38 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -5 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,-556] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
5030912/3627 |
j-invariant |
L |
3.5259917430131 |
L(r)(E,1)/r! |
Ω |
0.90698848855387 |
Real period |
R |
0.97189539545177 |
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 |
58032j1 9672a1 |
Quadratic twists by: -4 -3 |