Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422b |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
93304978272 = 25 · 310 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2216,-38304] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:66:1] |
Generators of the group modulo torsion |
j |
1204312419480457/93304978272 |
j-invariant |
L |
2.3947075877423 |
L(r)(E,1)/r! |
Ω |
0.69920970996907 |
Real period |
R |
3.4248774775284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35376bg2 13266q2 110550bx2 48642t2 |
Quadratic twists by: -4 -3 5 -11 |