Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506a |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1315734811578 = 2 · 32 · 119 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-440200,112231486] |
[a1,a2,a3,a4,a6] |
Generators |
[9367:899731:1] |
Generators of the group modulo torsion |
j |
4000748046875/558 |
j-invariant |
L |
3.3328889740774 |
L(r)(E,1)/r! |
Ω |
0.66942466437503 |
Real period |
R |
4.9787364455549 |
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 |
67518bh2 22506u2 |
Quadratic twists by: -3 -11 |