Atkin-Lehner |
3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
49959k |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
269941747259457 = 310 · 78 · 13 · 61 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42116,3241950] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:2082:1] |
Generators of the group modulo torsion |
j |
11332555833893113/370290462633 |
j-invariant |
L |
2.981785091076 |
L(r)(E,1)/r! |
Ω |
0.54762987840262 |
Real period |
R |
0.68061139664086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16653f3 |
Quadratic twists by: -3 |