Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128a |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-130375872 = -1 · 26 · 33 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120253,-16010609] |
[a1,a2,a3,a4,a6] |
Generators |
[88377564961490849704488990:-13395763931125479739052737717:3845676502271083617487] |
Generators of the group modulo torsion |
j |
-3004935183806464000/2037123 |
j-invariant |
L |
5.535803045697 |
L(r)(E,1)/r! |
Ω |
0.12818738205324 |
Real period |
R |
43.185241456899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128cc2 627b2 120384bg2 |
Quadratic twists by: -4 8 -3 |