Atkin-Lehner |
3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685f |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
429165 = 33 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45,128] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
35651584/1485 |
j-invariant |
L |
4.8511917874966 |
L(r)(E,1)/r! |
Ω |
2.9517650795331 |
Real period |
R |
1.6434884405724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47685k1 |
Quadratic twists by: 17 |