Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
66c |
Isogeny class |
Conductor |
66 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
1932612 = 22 · 3 · 115 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10065,-389499] |
[a1,a2,a3,a4,a6] |
j |
112763292123580561/1932612 |
j-invariant |
L |
1.1916148156125 |
L(r)(E,1)/r! |
Ω |
0.47664592624499 |
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 |
528f3 2112d3 198e3 1650b3 |
Quadratic twists by: -4 8 -3 5 |