Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bk |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-7310714972400 = -1 · 24 · 312 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4828,14519] |
[a1,a2,a3,a4,a6] |
Generators |
[27:391:1] |
Generators of the group modulo torsion |
j |
17075848639751/10028415600 |
j-invariant |
L |
7.3196668304117 |
L(r)(E,1)/r! |
Ω |
0.45149859984845 |
Real period |
R |
2.026492117824 |
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 |
85680et1 3570k1 53550ba1 74970cu1 |
Quadratic twists by: -4 -3 5 -7 |