Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416c |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-178830214649856 = -1 · 211 · 34 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,776,643084] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1470:1] |
Generators of the group modulo torsion |
j |
25201079566/87319440747 |
j-invariant |
L |
4.1414251838055 |
L(r)(E,1)/r! |
Ω |
0.44790768374017 |
Real period |
R |
2.3115394835512 |
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 |
62832o3 94248bc3 |
Quadratic twists by: -4 -3 |