Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327g |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2797346705222601 = 36 · 72 · 238 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41361,2012192] |
[a1,a2,a3,a4,a6] |
Generators |
[-1908302:21281731:10648] |
Generators of the group modulo torsion |
j |
72511713/25921 |
j-invariant |
L |
8.1807184004991 |
L(r)(E,1)/r! |
Ω |
0.41549218601286 |
Real period |
R |
9.8446116147249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3703a2 1449e2 |
Quadratic twists by: -3 -23 |