Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17688g |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
6226176 = 28 · 3 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
61918288/24321 |
j-invariant |
L |
5.1602099463737 |
L(r)(E,1)/r! |
Ω |
2.1691654681242 |
Real period |
R |
1.189445900325 |
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 |
35376j1 53064f1 |
Quadratic twists by: -4 -3 |