Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066j |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6086077349352 = 23 · 3 · 7 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-108055,-13716083] |
[a1,a2,a3,a4,a6] |
Generators |
[513:7879:1] |
Generators of the group modulo torsion |
j |
78760503564625/3435432 |
j-invariant |
L |
3.4525039706514 |
L(r)(E,1)/r! |
Ω |
0.26332309504712 |
Real period |
R |
6.5556421658685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006t2 |
Quadratic twists by: -11 |