Atkin-Lehner |
2- 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110s |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
31286534400 = 28 · 32 · 52 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1135,-12103] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:53:1] |
Generators of the group modulo torsion |
j |
161709379766641/31286534400 |
j-invariant |
L |
8.9609157199674 |
L(r)(E,1)/r! |
Ω |
0.83359292766407 |
Real period |
R |
1.3437187718648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66330n2 110550d2 |
Quadratic twists by: -3 5 |