Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ei |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2346843456000000 = 212 · 313 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2412948,-1442678272] |
[a1,a2,a3,a4,a6] |
Generators |
[102426896:28408140504:1331] |
Generators of the group modulo torsion |
j |
520331507252226496/785953125 |
j-invariant |
L |
5.9810746468748 |
L(r)(E,1)/r! |
Ω |
0.12113303630876 |
Real period |
R |
12.344020321008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ex2 33120bh1 22080ci2 |
Quadratic twists by: -4 8 -3 |