Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bj |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.1486689224813E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2596136,1542349360] |
[a1,a2,a3,a4,a6] |
Generators |
[3364873410:-208797760990:2146689] |
Generators of the group modulo torsion |
j |
266679605718863/296110251723 |
j-invariant |
L |
4.6235642682678 |
L(r)(E,1)/r! |
Ω |
0.09739329408471 |
Real period |
R |
11.868281874246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719j6 6864r6 |
Quadratic twists by: -4 -11 |