Atkin-Lehner |
3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
17061c |
Isogeny class |
Conductor |
17061 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
249790101 = 3 · 116 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90995,-10572619] |
[a1,a2,a3,a4,a6] |
Generators |
[273784083281300438:28571684162072049609:24881743633384] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
8.2148679671597 |
L(r)(E,1)/r! |
Ω |
0.27488164690517 |
Real period |
R |
29.885108953795 |
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 |
51183i4 141c4 |
Quadratic twists by: -3 -11 |