Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066ba |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12652954809302808 = 23 · 34 · 72 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79500,6712594] |
[a1,a2,a3,a4,a6] |
j |
23565848363/5366088 |
j-invariant |
L |
3.0119161397964 |
L(r)(E,1)/r! |
Ω |
0.37648951743475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066cf2 |
Quadratic twists by: -11 |