Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006r |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
113170859802 = 2 · 33 · 7 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1656,20116] |
[a1,a2,a3,a4,a6] |
Generators |
[34:41:1] |
Generators of the group modulo torsion |
j |
501796540869625/113170859802 |
j-invariant |
L |
3.6591451359823 |
L(r)(E,1)/r! |
Ω |
0.99234100177017 |
Real period |
R |
3.6873868251488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48048be2 18018bm2 42042p2 66066ci2 |
Quadratic twists by: -4 -3 -7 -11 |