Atkin-Lehner |
2- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51136h |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
339781947392 = 212 · 17 · 474 |
Discriminant |
Eigenvalues |
2- 2 0 0 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5913,-170791] |
[a1,a2,a3,a4,a6] |
j |
5582912824000/82954577 |
j-invariant |
L |
4.3593559084288 |
L(r)(E,1)/r! |
Ω |
0.5449194886658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136j1 25568c1 |
Quadratic twists by: -4 8 |